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Finding the Fourth Proportional to 2,532.66, 3,798.96 and 1,071.78

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Solution

The fourth proportional to 2,532.66, 3,798.96 and 1,071.78 is: 1,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.66 : 3,798.96 = 1,071.78 : x
  2. Step 2: Convert to fraction form
    2,532.66/3,798.96 = 1,071.78/x
  3. Step 3: Cross multiply
    2,532.66x = 3,798.96 × 1,071.78
  4. Step 4: Simplify right side
    2,532.66x = 4,071,649.35
  5. Step 5: Solve for x
    x = 4,071,649.35/2,532.66
  6. Step 6: Final answer
    x = 1,607.66

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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.