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Finding the Fourth Proportional to 20,697.70, 31,029.13 and 9,002.11

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Solution

The fourth proportional to 20,697.70, 31,029.13 and 9,002.11 is: 13,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.70 : 31,029.13 = 9,002.11 : x
  2. Step 2: Convert to fraction form
    20,697.70/31,029.13 = 9,002.11/x
  3. Step 3: Cross multiply
    20,697.70x = 31,029.13 × 9,002.11
  4. Step 4: Simplify right side
    20,697.70x = 279,327,641.46
  5. Step 5: Solve for x
    x = 279,327,641.46/20,697.70
  6. Step 6: Final answer
    x = 13,495.59

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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.