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Finding the Fourth Proportional to 14,689.52, 20,271.48 and 8,402

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Solution

The fourth proportional to 14,689.52, 20,271.48 and 8,402 is: 11,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.52 : 20,271.48 = 8,402 : x
  2. Step 2: Convert to fraction form
    14,689.52/20,271.48 = 8,402/x
  3. Step 3: Cross multiply
    14,689.52x = 20,271.48 × 8,402
  4. Step 4: Simplify right side
    14,689.52x = 170,320,974.96
  5. Step 5: Solve for x
    x = 170,320,974.96/14,689.52
  6. Step 6: Final answer
    x = 11,594.73

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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.