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Finding the Fourth Proportional to 21,251.18, 31,880.64 and 7,020.47

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Solution

The fourth proportional to 21,251.18, 31,880.64 and 7,020.47 is: 10,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.18 : 31,880.64 = 7,020.47 : x
  2. Step 2: Convert to fraction form
    21,251.18/31,880.64 = 7,020.47/x
  3. Step 3: Cross multiply
    21,251.18x = 31,880.64 × 7,020.47
  4. Step 4: Simplify right side
    21,251.18x = 223,817,076.70
  5. Step 5: Solve for x
    x = 223,817,076.70/21,251.18
  6. Step 6: Final answer
    x = 10,531.98

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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.