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Finding the Fourth Proportional to 7,765.57, 11,592.05 and 7,187.43

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Solution

The fourth proportional to 7,765.57, 11,592.05 and 7,187.43 is: 10,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.57 : 11,592.05 = 7,187.43 : x
  2. Step 2: Convert to fraction form
    7,765.57/11,592.05 = 7,187.43/x
  3. Step 3: Cross multiply
    7,765.57x = 11,592.05 × 7,187.43
  4. Step 4: Simplify right side
    7,765.57x = 83,317,047.93
  5. Step 5: Solve for x
    x = 83,317,047.93/7,765.57
  6. Step 6: Final answer
    x = 10,729.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.