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Finding the Fourth Proportional to 7,154.55, 9,865.83 and 5,660.10

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Solution

The fourth proportional to 7,154.55, 9,865.83 and 5,660.10 is: 7,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.55 : 9,865.83 = 5,660.10 : x
  2. Step 2: Convert to fraction form
    7,154.55/9,865.83 = 5,660.10/x
  3. Step 3: Cross multiply
    7,154.55x = 9,865.83 × 5,660.10
  4. Step 4: Simplify right side
    7,154.55x = 55,841,584.38
  5. Step 5: Solve for x
    x = 55,841,584.38/7,154.55
  6. Step 6: Final answer
    x = 7,805.04

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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.