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Finding the Fourth Proportional to 20,889, 31,335.12 and 7,038

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Solution

The fourth proportional to 20,889, 31,335.12 and 7,038 is: 10,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 31,335.12 = 7,038 : x
  2. Step 2: Convert to fraction form
    20,889/31,335.12 = 7,038/x
  3. Step 3: Cross multiply
    20,889x = 31,335.12 × 7,038
  4. Step 4: Simplify right side
    20,889x = 220,536,574.56
  5. Step 5: Solve for x
    x = 220,536,574.56/20,889
  6. Step 6: Final answer
    x = 10,557.55

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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.