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Finding the Fourth Proportional to 2,886.65, 4,331.12 and 1,500.86

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Solution

The fourth proportional to 2,886.65, 4,331.12 and 1,500.86 is: 2,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.65 : 4,331.12 = 1,500.86 : x
  2. Step 2: Convert to fraction form
    2,886.65/4,331.12 = 1,500.86/x
  3. Step 3: Cross multiply
    2,886.65x = 4,331.12 × 1,500.86
  4. Step 4: Simplify right side
    2,886.65x = 6,500,404.76
  5. Step 5: Solve for x
    x = 6,500,404.76/2,886.65
  6. Step 6: Final answer
    x = 2,251.89

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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.