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Finding the Fourth Proportional to 21,306.63, 31,966.02 and 8,660.31

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Solution

The fourth proportional to 21,306.63, 31,966.02 and 8,660.31 is: 12,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.63 : 31,966.02 = 8,660.31 : x
  2. Step 2: Convert to fraction form
    21,306.63/31,966.02 = 8,660.31/x
  3. Step 3: Cross multiply
    21,306.63x = 31,966.02 × 8,660.31
  4. Step 4: Simplify right side
    21,306.63x = 276,835,642.67
  5. Step 5: Solve for x
    x = 276,835,642.67/21,306.63
  6. Step 6: Final answer
    x = 12,992.93

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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.