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Finding the Fourth Proportional to 3,903.61, 5,855.38 and 1,306.52

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Solution

The fourth proportional to 3,903.61, 5,855.38 and 1,306.52 is: 1,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.61 : 5,855.38 = 1,306.52 : x
  2. Step 2: Convert to fraction form
    3,903.61/5,855.38 = 1,306.52/x
  3. Step 3: Cross multiply
    3,903.61x = 5,855.38 × 1,306.52
  4. Step 4: Simplify right side
    3,903.61x = 7,650,171.08
  5. Step 5: Solve for x
    x = 7,650,171.08/3,903.61
  6. Step 6: Final answer
    x = 1,959.77

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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.