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Finding the Fourth Proportional to 21,613.63, 32,422.12 and 8,293

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Solution

The fourth proportional to 21,613.63, 32,422.12 and 8,293 is: 12,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.63 : 32,422.12 = 8,293 : x
  2. Step 2: Convert to fraction form
    21,613.63/32,422.12 = 8,293/x
  3. Step 3: Cross multiply
    21,613.63x = 32,422.12 × 8,293
  4. Step 4: Simplify right side
    21,613.63x = 268,876,641.16
  5. Step 5: Solve for x
    x = 268,876,641.16/21,613.63
  6. Step 6: Final answer
    x = 12,440.14

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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.