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Finding the Fourth Proportional to 10,009.52, 15,010.68 and 3,434

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Solution

The fourth proportional to 10,009.52, 15,010.68 and 3,434 is: 5,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.52 : 15,010.68 = 3,434 : x
  2. Step 2: Convert to fraction form
    10,009.52/15,010.68 = 3,434/x
  3. Step 3: Cross multiply
    10,009.52x = 15,010.68 × 3,434
  4. Step 4: Simplify right side
    10,009.52x = 51,546,675.12
  5. Step 5: Solve for x
    x = 51,546,675.12/10,009.52
  6. Step 6: Final answer
    x = 5,149.76

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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.