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Finding the Fourth Proportional to 21,665.13, 32,512.27 and 7,814.13

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Solution

The fourth proportional to 21,665.13, 32,512.27 and 7,814.13 is: 11,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.13 : 32,512.27 = 7,814.13 : x
  2. Step 2: Convert to fraction form
    21,665.13/32,512.27 = 7,814.13/x
  3. Step 3: Cross multiply
    21,665.13x = 32,512.27 × 7,814.13
  4. Step 4: Simplify right side
    21,665.13x = 254,055,104.38
  5. Step 5: Solve for x
    x = 254,055,104.38/21,665.13
  6. Step 6: Final answer
    x = 11,726.45

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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.