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Finding the Fourth Proportional to 21,070, 31,594.92 and 6,273.70

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Solution

The fourth proportional to 21,070, 31,594.92 and 6,273.70 is: 9,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070 : 31,594.92 = 6,273.70 : x
  2. Step 2: Convert to fraction form
    21,070/31,594.92 = 6,273.70/x
  3. Step 3: Cross multiply
    21,070x = 31,594.92 × 6,273.70
  4. Step 4: Simplify right side
    21,070x = 198,217,049.60
  5. Step 5: Solve for x
    x = 198,217,049.60/21,070
  6. Step 6: Final answer
    x = 9,407.55

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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.