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Finding the Fourth Proportional to 10,020.30, 15,034.10 and 4,756.92

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Solution

The fourth proportional to 10,020.30, 15,034.10 and 4,756.92 is: 7,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.30 : 15,034.10 = 4,756.92 : x
  2. Step 2: Convert to fraction form
    10,020.30/15,034.10 = 4,756.92/x
  3. Step 3: Cross multiply
    10,020.30x = 15,034.10 × 4,756.92
  4. Step 4: Simplify right side
    10,020.30x = 71,515,987.19
  5. Step 5: Solve for x
    x = 71,515,987.19/10,020.30
  6. Step 6: Final answer
    x = 7,137.11

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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.