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Finding the Fourth Proportional to 5,642.46, 7,768.41 and 4,844.21

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Solution

The fourth proportional to 5,642.46, 7,768.41 and 4,844.21 is: 6,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 7,768.41 = 4,844.21 : x
  2. Step 2: Convert to fraction form
    5,642.46/7,768.41 = 4,844.21/x
  3. Step 3: Cross multiply
    5,642.46x = 7,768.41 × 4,844.21
  4. Step 4: Simplify right side
    5,642.46x = 37,631,752.40
  5. Step 5: Solve for x
    x = 37,631,752.40/5,642.46
  6. Step 6: Final answer
    x = 6,669.39

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Double scale
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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.