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Finding the Fourth Proportional to 30,240, 45,360 and 28,451.52

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Solution

The fourth proportional to 30,240, 45,360 and 28,451.52 is: 42,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 45,360 = 28,451.52 : x
  2. Step 2: Convert to fraction form
    30,240/45,360 = 28,451.52/x
  3. Step 3: Cross multiply
    30,240x = 45,360 × 28,451.52
  4. Step 4: Simplify right side
    30,240x = 1,290,560,947.20
  5. Step 5: Solve for x
    x = 1,290,560,947.20/30,240
  6. Step 6: Final answer
    x = 42,677.28

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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.