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Finding the Fourth Proportional to 2,499, 3,748.35 and 977.70

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Solution

The fourth proportional to 2,499, 3,748.35 and 977.70 is: 1,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499 : 3,748.35 = 977.70 : x
  2. Step 2: Convert to fraction form
    2,499/3,748.35 = 977.70/x
  3. Step 3: Cross multiply
    2,499x = 3,748.35 × 977.70
  4. Step 4: Simplify right side
    2,499x = 3,664,761.80
  5. Step 5: Solve for x
    x = 3,664,761.80/2,499
  6. Step 6: Final answer
    x = 1,466.49

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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.