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Finding the Fourth Proportional to 28,500, 42,758.28 and 11,856.96

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Solution

The fourth proportional to 28,500, 42,758.28 and 11,856.96 is: 17,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,500 : 42,758.28 = 11,856.96 : x
  2. Step 2: Convert to fraction form
    28,500/42,758.28 = 11,856.96/x
  3. Step 3: Cross multiply
    28,500x = 42,758.28 × 11,856.96
  4. Step 4: Simplify right side
    28,500x = 506,983,215.63
  5. Step 5: Solve for x
    x = 506,983,215.63/28,500
  6. Step 6: Final answer
    x = 17,788.88

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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.