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Finding the Fourth Proportional to 2,468.61, 3,703.30 and 987.83

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Solution

The fourth proportional to 2,468.61, 3,703.30 and 987.83 is: 1,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.61 : 3,703.30 = 987.83 : x
  2. Step 2: Convert to fraction form
    2,468.61/3,703.30 = 987.83/x
  3. Step 3: Cross multiply
    2,468.61x = 3,703.30 × 987.83
  4. Step 4: Simplify right side
    2,468.61x = 3,658,230.84
  5. Step 5: Solve for x
    x = 3,658,230.84/2,468.61
  6. Step 6: Final answer
    x = 1,481.90

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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.