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Finding the Fourth Proportional to 21,234.15, 31,821.03 and 15,643.53

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Solution

The fourth proportional to 21,234.15, 31,821.03 and 15,643.53 is: 23,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.15 : 31,821.03 = 15,643.53 : x
  2. Step 2: Convert to fraction form
    21,234.15/31,821.03 = 15,643.53/x
  3. Step 3: Cross multiply
    21,234.15x = 31,821.03 × 15,643.53
  4. Step 4: Simplify right side
    21,234.15x = 497,793,237.44
  5. Step 5: Solve for x
    x = 497,793,237.44/21,234.15
  6. Step 6: Final answer
    x = 23,443.05

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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.