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Finding the Fourth Proportional to 28,403.80, 42,605.30 and 12,821.40

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Solution

The fourth proportional to 28,403.80, 42,605.30 and 12,821.40 is: 19,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,403.80 : 42,605.30 = 12,821.40 : x
  2. Step 2: Convert to fraction form
    28,403.80/42,605.30 = 12,821.40/x
  3. Step 3: Cross multiply
    28,403.80x = 42,605.30 × 12,821.40
  4. Step 4: Simplify right side
    28,403.80x = 546,259,593.42
  5. Step 5: Solve for x
    x = 546,259,593.42/28,403.80
  6. Step 6: Final answer
    x = 19,231.92

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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.