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Finding the Fourth Proportional to 9,139.80, 13,715.17 and 8,396.22

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Solution

The fourth proportional to 9,139.80, 13,715.17 and 8,396.22 is: 12,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.80 : 13,715.17 = 8,396.22 : x
  2. Step 2: Convert to fraction form
    9,139.80/13,715.17 = 8,396.22/x
  3. Step 3: Cross multiply
    9,139.80x = 13,715.17 × 8,396.22
  4. Step 4: Simplify right side
    9,139.80x = 115,155,615.10
  5. Step 5: Solve for x
    x = 115,155,615.10/9,139.80
  6. Step 6: Final answer
    x = 12,599.35

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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.