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Finding the Fourth Proportional to 2,503.84, 3,750.90 and 1,269.76

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Solution

The fourth proportional to 2,503.84, 3,750.90 and 1,269.76 is: 1,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.84 : 3,750.90 = 1,269.76 : x
  2. Step 2: Convert to fraction form
    2,503.84/3,750.90 = 1,269.76/x
  3. Step 3: Cross multiply
    2,503.84x = 3,750.90 × 1,269.76
  4. Step 4: Simplify right side
    2,503.84x = 4,762,742.78
  5. Step 5: Solve for x
    x = 4,762,742.78/2,503.84
  6. Step 6: Final answer
    x = 1,902.18

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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.