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Finding the Fourth Proportional to 21,689.75, 32,514.63 and 7,642.13

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Solution

The fourth proportional to 21,689.75, 32,514.63 and 7,642.13 is: 11,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.75 : 32,514.63 = 7,642.13 : x
  2. Step 2: Convert to fraction form
    21,689.75/32,514.63 = 7,642.13/x
  3. Step 3: Cross multiply
    21,689.75x = 32,514.63 × 7,642.13
  4. Step 4: Simplify right side
    21,689.75x = 248,480,866.79
  5. Step 5: Solve for x
    x = 248,480,866.79/21,689.75
  6. Step 6: Final answer
    x = 11,456.15

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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.