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Finding the Fourth Proportional to 9,169.58, 12,654.04 and 4,977.84

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Solution

The fourth proportional to 9,169.58, 12,654.04 and 4,977.84 is: 6,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.58 : 12,654.04 = 4,977.84 : x
  2. Step 2: Convert to fraction form
    9,169.58/12,654.04 = 4,977.84/x
  3. Step 3: Cross multiply
    9,169.58x = 12,654.04 × 4,977.84
  4. Step 4: Simplify right side
    9,169.58x = 62,989,786.47
  5. Step 5: Solve for x
    x = 62,989,786.47/9,169.58
  6. Step 6: Final answer
    x = 6,869.43

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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.