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Finding the Fourth Proportional to 14,921.88, 20,593.20 and 9,877.38

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Solution

The fourth proportional to 14,921.88, 20,593.20 and 9,877.38 is: 13,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.88 : 20,593.20 = 9,877.38 : x
  2. Step 2: Convert to fraction form
    14,921.88/20,593.20 = 9,877.38/x
  3. Step 3: Cross multiply
    14,921.88x = 20,593.20 × 9,877.38
  4. Step 4: Simplify right side
    14,921.88x = 203,406,861.82
  5. Step 5: Solve for x
    x = 203,406,861.82/14,921.88
  6. Step 6: Final answer
    x = 13,631.45

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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.