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Finding the Fourth Proportional to 29,978.49, 45,018.76 and 28,724.61

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Solution

The fourth proportional to 29,978.49, 45,018.76 and 28,724.61 is: 43,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.49 : 45,018.76 = 28,724.61 : x
  2. Step 2: Convert to fraction form
    29,978.49/45,018.76 = 28,724.61/x
  3. Step 3: Cross multiply
    29,978.49x = 45,018.76 × 28,724.61
  4. Step 4: Simplify right side
    29,978.49x = 1,293,146,323.68
  5. Step 5: Solve for x
    x = 1,293,146,323.68/29,978.49
  6. Step 6: Final answer
    x = 43,135.81

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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.