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Finding the Fourth Proportional to 21,751.83, 32,623.65 and 7,711.29

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Solution

The fourth proportional to 21,751.83, 32,623.65 and 7,711.29 is: 11,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.83 : 32,623.65 = 7,711.29 : x
  2. Step 2: Convert to fraction form
    21,751.83/32,623.65 = 7,711.29/x
  3. Step 3: Cross multiply
    21,751.83x = 32,623.65 × 7,711.29
  4. Step 4: Simplify right side
    21,751.83x = 251,570,426.01
  5. Step 5: Solve for x
    x = 251,570,426.01/21,751.83
  6. Step 6: Final answer
    x = 11,565.48

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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.