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Finding the Fourth Proportional to 7,765.72, 10,731.92 and 6,901.72

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Solution

The fourth proportional to 7,765.72, 10,731.92 and 6,901.72 is: 9,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.72 : 10,731.92 = 6,901.72 : x
  2. Step 2: Convert to fraction form
    7,765.72/10,731.92 = 6,901.72/x
  3. Step 3: Cross multiply
    7,765.72x = 10,731.92 × 6,901.72
  4. Step 4: Simplify right side
    7,765.72x = 74,068,706.90
  5. Step 5: Solve for x
    x = 74,068,706.90/7,765.72
  6. Step 6: Final answer
    x = 9,537.91

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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.