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Finding the Fourth Proportional to 21,539.31, 32,308.88 and 5,744.31

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Solution

The fourth proportional to 21,539.31, 32,308.88 and 5,744.31 is: 8,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,539.31 : 32,308.88 = 5,744.31 : x
  2. Step 2: Convert to fraction form
    21,539.31/32,308.88 = 5,744.31/x
  3. Step 3: Cross multiply
    21,539.31x = 32,308.88 × 5,744.31
  4. Step 4: Simplify right side
    21,539.31x = 185,592,193.75
  5. Step 5: Solve for x
    x = 185,592,193.75/21,539.31
  6. Step 6: Final answer
    x = 8,616.44

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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.