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Finding the Fourth Proportional to 21,275.61, 31,913.42 and 8,129.31

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Solution

The fourth proportional to 21,275.61, 31,913.42 and 8,129.31 is: 12,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.61 : 31,913.42 = 8,129.31 : x
  2. Step 2: Convert to fraction form
    21,275.61/31,913.42 = 8,129.31/x
  3. Step 3: Cross multiply
    21,275.61x = 31,913.42 × 8,129.31
  4. Step 4: Simplify right side
    21,275.61x = 259,434,043.69
  5. Step 5: Solve for x
    x = 259,434,043.69/21,275.61
  6. Step 6: Final answer
    x = 12,193.97

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1.5x scale

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.