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Finding the Fourth Proportional to 9,313.74, 12,866.04 and 8,472.96

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Solution

The fourth proportional to 9,313.74, 12,866.04 and 8,472.96 is: 11,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.74 : 12,866.04 = 8,472.96 : x
  2. Step 2: Convert to fraction form
    9,313.74/12,866.04 = 8,472.96/x
  3. Step 3: Cross multiply
    9,313.74x = 12,866.04 × 8,472.96
  4. Step 4: Simplify right side
    9,313.74x = 109,013,442.28
  5. Step 5: Solve for x
    x = 109,013,442.28/9,313.74
  6. Step 6: Final answer
    x = 11,704.58

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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.