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Finding the Fourth Proportional to 11,401.70, 15,740.07 and 7,158.92

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Solution

The fourth proportional to 11,401.70, 15,740.07 and 7,158.92 is: 9,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.70 : 15,740.07 = 7,158.92 : x
  2. Step 2: Convert to fraction form
    11,401.70/15,740.07 = 7,158.92/x
  3. Step 3: Cross multiply
    11,401.70x = 15,740.07 × 7,158.92
  4. Step 4: Simplify right side
    11,401.70x = 112,681,823.22
  5. Step 5: Solve for x
    x = 112,681,823.22/11,401.70
  6. Step 6: Final answer
    x = 9,882.90

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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.