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Finding the Fourth Proportional to 9,169.92, 12,654.40 and 4,977.92

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Solution

The fourth proportional to 9,169.92, 12,654.40 and 4,977.92 is: 6,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.92 : 12,654.40 = 4,977.92 : x
  2. Step 2: Convert to fraction form
    9,169.92/12,654.40 = 4,977.92/x
  3. Step 3: Cross multiply
    9,169.92x = 12,654.40 × 4,977.92
  4. Step 4: Simplify right side
    9,169.92x = 62,992,590.85
  5. Step 5: Solve for x
    x = 62,992,590.85/9,169.92
  6. Step 6: Final answer
    x = 6,869.48

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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.