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Finding the Fourth Proportional to 56,282, 84,452.16 and 28,580

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Solution

The fourth proportional to 56,282, 84,452.16 and 28,580 is: 42,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282 : 84,452.16 = 28,580 : x
  2. Step 2: Convert to fraction form
    56,282/84,452.16 = 28,580/x
  3. Step 3: Cross multiply
    56,282x = 84,452.16 × 28,580
  4. Step 4: Simplify right side
    56,282x = 2,413,642,732.80
  5. Step 5: Solve for x
    x = 2,413,642,732.80/56,282
  6. Step 6: Final answer
    x = 42,884.81

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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.