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Finding the Fourth Proportional to 21,594, 32,391 and 7,743

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Solution

The fourth proportional to 21,594, 32,391 and 7,743 is: 11,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594 : 32,391 = 7,743 : x
  2. Step 2: Convert to fraction form
    21,594/32,391 = 7,743/x
  3. Step 3: Cross multiply
    21,594x = 32,391 × 7,743
  4. Step 4: Simplify right side
    21,594x = 250,803,513
  5. Step 5: Solve for x
    x = 250,803,513/21,594
  6. Step 6: Final answer
    x = 11,614.50

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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.