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Finding the Fourth Proportional to 9,169.53, 12,653.85 and 4,977.78

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Solution

The fourth proportional to 9,169.53, 12,653.85 and 4,977.78 is: 6,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.53 : 12,653.85 = 4,977.78 : x
  2. Step 2: Convert to fraction form
    9,169.53/12,653.85 = 4,977.78/x
  3. Step 3: Cross multiply
    9,169.53x = 12,653.85 × 4,977.78
  4. Step 4: Simplify right side
    9,169.53x = 62,988,081.45
  5. Step 5: Solve for x
    x = 62,988,081.45/9,169.53
  6. Step 6: Final answer
    x = 6,869.28

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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.