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Finding the Fourth Proportional to 28,650, 42,976.08 and 8,928.48

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Solution

The fourth proportional to 28,650, 42,976.08 and 8,928.48 is: 13,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,650 : 42,976.08 = 8,928.48 : x
  2. Step 2: Convert to fraction form
    28,650/42,976.08 = 8,928.48/x
  3. Step 3: Cross multiply
    28,650x = 42,976.08 × 8,928.48
  4. Step 4: Simplify right side
    28,650x = 383,711,070.76
  5. Step 5: Solve for x
    x = 383,711,070.76/28,650
  6. Step 6: Final answer
    x = 13,393.06

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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.