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Finding the Fourth Proportional to 14,890, 20,565.48 and 9,913.36

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Solution

The fourth proportional to 14,890, 20,565.48 and 9,913.36 is: 13,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890 : 20,565.48 = 9,913.36 : x
  2. Step 2: Convert to fraction form
    14,890/20,565.48 = 9,913.36/x
  3. Step 3: Cross multiply
    14,890x = 20,565.48 × 9,913.36
  4. Step 4: Simplify right side
    14,890x = 203,873,006.81
  5. Step 5: Solve for x
    x = 203,873,006.81/14,890
  6. Step 6: Final answer
    x = 13,691.94

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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.