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Finding the Fourth Proportional to 3,007.68, 4,512.48 and 2,776

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Solution

The fourth proportional to 3,007.68, 4,512.48 and 2,776 is: 4,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.68 : 4,512.48 = 2,776 : x
  2. Step 2: Convert to fraction form
    3,007.68/4,512.48 = 2,776/x
  3. Step 3: Cross multiply
    3,007.68x = 4,512.48 × 2,776
  4. Step 4: Simplify right side
    3,007.68x = 12,526,644.48
  5. Step 5: Solve for x
    x = 12,526,644.48/3,007.68
  6. Step 6: Final answer
    x = 4,164.89

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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.