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Finding the Fourth Proportional to 7,644.84, 10,550.16 and 4,460.19

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Solution

The fourth proportional to 7,644.84, 10,550.16 and 4,460.19 is: 6,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.84 : 10,550.16 = 4,460.19 : x
  2. Step 2: Convert to fraction form
    7,644.84/10,550.16 = 4,460.19/x
  3. Step 3: Cross multiply
    7,644.84x = 10,550.16 × 4,460.19
  4. Step 4: Simplify right side
    7,644.84x = 47,055,718.13
  5. Step 5: Solve for x
    x = 47,055,718.13/7,644.84
  6. Step 6: Final answer
    x = 6,155.23

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Half scale
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Double scale
Find fourth proportional to 7,645.84, 10,551.54 and 4,461.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.