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Finding the Fourth Proportional to 9,101.53, 12,564.21 and 6,747.77

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Solution

The fourth proportional to 9,101.53, 12,564.21 and 6,747.77 is: 9,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.53 : 12,564.21 = 6,747.77 : x
  2. Step 2: Convert to fraction form
    9,101.53/12,564.21 = 6,747.77/x
  3. Step 3: Cross multiply
    9,101.53x = 12,564.21 × 6,747.77
  4. Step 4: Simplify right side
    9,101.53x = 84,780,456.03
  5. Step 5: Solve for x
    x = 84,780,456.03/9,101.53
  6. Step 6: Final answer
    x = 9,314.97

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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.