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Finding the Fourth Proportional to 40,978.29, 61,524.06 and 28,298.31

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Solution

The fourth proportional to 40,978.29, 61,524.06 and 28,298.31 is: 42,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.29 : 61,524.06 = 28,298.31 : x
  2. Step 2: Convert to fraction form
    40,978.29/61,524.06 = 28,298.31/x
  3. Step 3: Cross multiply
    40,978.29x = 61,524.06 × 28,298.31
  4. Step 4: Simplify right side
    40,978.29x = 1,741,026,922.34
  5. Step 5: Solve for x
    x = 1,741,026,922.34/40,978.29
  6. Step 6: Final answer
    x = 42,486.57

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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.