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Finding the Fourth Proportional to 2,962.93, 4,442.90 and 987.87

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Solution

The fourth proportional to 2,962.93, 4,442.90 and 987.87 is: 1,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.93 : 4,442.90 = 987.87 : x
  2. Step 2: Convert to fraction form
    2,962.93/4,442.90 = 987.87/x
  3. Step 3: Cross multiply
    2,962.93x = 4,442.90 × 987.87
  4. Step 4: Simplify right side
    2,962.93x = 4,389,012.41
  5. Step 5: Solve for x
    x = 4,389,012.41/2,962.93
  6. Step 6: Final answer
    x = 1,481.31

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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.