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Finding the Fourth Proportional to 8,503.92, 12,744.36 and 7,490.16

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Solution

The fourth proportional to 8,503.92, 12,744.36 and 7,490.16 is: 11,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.92 : 12,744.36 = 7,490.16 : x
  2. Step 2: Convert to fraction form
    8,503.92/12,744.36 = 7,490.16/x
  3. Step 3: Cross multiply
    8,503.92x = 12,744.36 × 7,490.16
  4. Step 4: Simplify right side
    8,503.92x = 95,457,295.50
  5. Step 5: Solve for x
    x = 95,457,295.50/8,503.92
  6. Step 6: Final answer
    x = 11,225.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.