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Finding the Fourth Proportional to 14,978.43, 20,669.47 and 9,008.95

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Solution

The fourth proportional to 14,978.43, 20,669.47 and 9,008.95 is: 12,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.43 : 20,669.47 = 9,008.95 : x
  2. Step 2: Convert to fraction form
    14,978.43/20,669.47 = 9,008.95/x
  3. Step 3: Cross multiply
    14,978.43x = 20,669.47 × 9,008.95
  4. Step 4: Simplify right side
    14,978.43x = 186,210,221.76
  5. Step 5: Solve for x
    x = 186,210,221.76/14,978.43
  6. Step 6: Final answer
    x = 12,431.89

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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.