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Finding the Fourth Proportional to 9,169.76, 12,654.20 and 4,978.02

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Solution

The fourth proportional to 9,169.76, 12,654.20 and 4,978.02 is: 6,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.76 : 12,654.20 = 4,978.02 : x
  2. Step 2: Convert to fraction form
    9,169.76/12,654.20 = 4,978.02/x
  3. Step 3: Cross multiply
    9,169.76x = 12,654.20 × 4,978.02
  4. Step 4: Simplify right side
    9,169.76x = 62,992,860.68
  5. Step 5: Solve for x
    x = 62,992,860.68/9,169.76
  6. Step 6: Final answer
    x = 6,869.63

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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.