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Finding the Fourth Proportional to 21,646.56, 32,474.25 and 8,319

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Solution

The fourth proportional to 21,646.56, 32,474.25 and 8,319 is: 12,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.56 : 32,474.25 = 8,319 : x
  2. Step 2: Convert to fraction form
    21,646.56/32,474.25 = 8,319/x
  3. Step 3: Cross multiply
    21,646.56x = 32,474.25 × 8,319
  4. Step 4: Simplify right side
    21,646.56x = 270,153,285.75
  5. Step 5: Solve for x
    x = 270,153,285.75/21,646.56
  6. Step 6: Final answer
    x = 12,480.19

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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.