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Finding the Fourth Proportional to 15,177.96, 20,946.96 and 9,211.14

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Solution

The fourth proportional to 15,177.96, 20,946.96 and 9,211.14 is: 12,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.96 : 20,946.96 = 9,211.14 : x
  2. Step 2: Convert to fraction form
    15,177.96/20,946.96 = 9,211.14/x
  3. Step 3: Cross multiply
    15,177.96x = 20,946.96 × 9,211.14
  4. Step 4: Simplify right side
    15,177.96x = 192,945,381.13
  5. Step 5: Solve for x
    x = 192,945,381.13/15,177.96
  6. Step 6: Final answer
    x = 12,712.21

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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.