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Finding the Fourth Proportional to 8,239.91, 12,424.50 and 7,551

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Solution

The fourth proportional to 8,239.91, 12,424.50 and 7,551 is: 11,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.91 : 12,424.50 = 7,551 : x
  2. Step 2: Convert to fraction form
    8,239.91/12,424.50 = 7,551/x
  3. Step 3: Cross multiply
    8,239.91x = 12,424.50 × 7,551
  4. Step 4: Simplify right side
    8,239.91x = 93,817,399.50
  5. Step 5: Solve for x
    x = 93,817,399.50/8,239.91
  6. Step 6: Final answer
    x = 11,385.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.