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Finding the Fourth Proportional to 9,124.79, 13,674.79 and 5,174.18

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Solution

The fourth proportional to 9,124.79, 13,674.79 and 5,174.18 is: 7,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.79 : 13,674.79 = 5,174.18 : x
  2. Step 2: Convert to fraction form
    9,124.79/13,674.79 = 5,174.18/x
  3. Step 3: Cross multiply
    9,124.79x = 13,674.79 × 5,174.18
  4. Step 4: Simplify right side
    9,124.79x = 70,755,824.92
  5. Step 5: Solve for x
    x = 70,755,824.92/9,124.79
  6. Step 6: Final answer
    x = 7,754.24

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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.