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Finding the Fourth Proportional to 54,978.56, 82,394.40 and 28,628

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Solution

The fourth proportional to 54,978.56, 82,394.40 and 28,628 is: 42,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.56 : 82,394.40 = 28,628 : x
  2. Step 2: Convert to fraction form
    54,978.56/82,394.40 = 28,628/x
  3. Step 3: Cross multiply
    54,978.56x = 82,394.40 × 28,628
  4. Step 4: Simplify right side
    54,978.56x = 2,358,786,883.20
  5. Step 5: Solve for x
    x = 2,358,786,883.20/54,978.56
  6. Step 6: Final answer
    x = 42,903.76

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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.