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Finding the Fourth Proportional to 7,733, 10,661.57 and 6,315.19

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Solution

The fourth proportional to 7,733, 10,661.57 and 6,315.19 is: 8,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 10,661.57 = 6,315.19 : x
  2. Step 2: Convert to fraction form
    7,733/10,661.57 = 6,315.19/x
  3. Step 3: Cross multiply
    7,733x = 10,661.57 × 6,315.19
  4. Step 4: Simplify right side
    7,733x = 67,329,840.25
  5. Step 5: Solve for x
    x = 67,329,840.25/7,733
  6. Step 6: Final answer
    x = 8,706.82

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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.