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Finding the Fourth Proportional to 3,503.42, 5,253.81 and 1,281.52

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Solution

The fourth proportional to 3,503.42, 5,253.81 and 1,281.52 is: 1,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.42 : 5,253.81 = 1,281.52 : x
  2. Step 2: Convert to fraction form
    3,503.42/5,253.81 = 1,281.52/x
  3. Step 3: Cross multiply
    3,503.42x = 5,253.81 × 1,281.52
  4. Step 4: Simplify right side
    3,503.42x = 6,732,864.35
  5. Step 5: Solve for x
    x = 6,732,864.35/3,503.42
  6. Step 6: Final answer
    x = 1,921.80

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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.