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Finding the Fourth Proportional to 14,822.52, 20,455.92 and 8,107.92

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Solution

The fourth proportional to 14,822.52, 20,455.92 and 8,107.92 is: 11,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.52 : 20,455.92 = 8,107.92 : x
  2. Step 2: Convert to fraction form
    14,822.52/20,455.92 = 8,107.92/x
  3. Step 3: Cross multiply
    14,822.52x = 20,455.92 × 8,107.92
  4. Step 4: Simplify right side
    14,822.52x = 165,854,962.89
  5. Step 5: Solve for x
    x = 165,854,962.89/14,822.52
  6. Step 6: Final answer
    x = 11,189.39

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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.