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Finding the Fourth Proportional to 9,140.52, 13,715.10 and 8,993.10

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Solution

The fourth proportional to 9,140.52, 13,715.10 and 8,993.10 is: 13,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.52 : 13,715.10 = 8,993.10 : x
  2. Step 2: Convert to fraction form
    9,140.52/13,715.10 = 8,993.10/x
  3. Step 3: Cross multiply
    9,140.52x = 13,715.10 × 8,993.10
  4. Step 4: Simplify right side
    9,140.52x = 123,341,265.81
  5. Step 5: Solve for x
    x = 123,341,265.81/9,140.52
  6. Step 6: Final answer
    x = 13,493.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.