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Finding the Fourth Proportional to 20,658.52, 28,509.20 and 12,275.02

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Solution

The fourth proportional to 20,658.52, 28,509.20 and 12,275.02 is: 16,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.52 : 28,509.20 = 12,275.02 : x
  2. Step 2: Convert to fraction form
    20,658.52/28,509.20 = 12,275.02/x
  3. Step 3: Cross multiply
    20,658.52x = 28,509.20 × 12,275.02
  4. Step 4: Simplify right side
    20,658.52x = 349,951,000.18
  5. Step 5: Solve for x
    x = 349,951,000.18/20,658.52
  6. Step 6: Final answer
    x = 16,939.79

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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.