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Finding the Fourth Proportional to 2,512.78, 3,769.05 and 972.70

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Solution

The fourth proportional to 2,512.78, 3,769.05 and 972.70 is: 1,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.78 : 3,769.05 = 972.70 : x
  2. Step 2: Convert to fraction form
    2,512.78/3,769.05 = 972.70/x
  3. Step 3: Cross multiply
    2,512.78x = 3,769.05 × 972.70
  4. Step 4: Simplify right side
    2,512.78x = 3,666,154.94
  5. Step 5: Solve for x
    x = 3,666,154.94/2,512.78
  6. Step 6: Final answer
    x = 1,459.00

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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.