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Finding the Fourth Proportional to 10,146.65, 15,221.19 and 4,302.50

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Solution

The fourth proportional to 10,146.65, 15,221.19 and 4,302.50 is: 6,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.65 : 15,221.19 = 4,302.50 : x
  2. Step 2: Convert to fraction form
    10,146.65/15,221.19 = 4,302.50/x
  3. Step 3: Cross multiply
    10,146.65x = 15,221.19 × 4,302.50
  4. Step 4: Simplify right side
    10,146.65x = 65,489,169.98
  5. Step 5: Solve for x
    x = 65,489,169.98/10,146.65
  6. Step 6: Final answer
    x = 6,454.27

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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.