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Finding the Fourth Proportional to 2,642.06, 3,962.76 and 887

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Solution

The fourth proportional to 2,642.06, 3,962.76 and 887 is: 1,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.06 : 3,962.76 = 887 : x
  2. Step 2: Convert to fraction form
    2,642.06/3,962.76 = 887/x
  3. Step 3: Cross multiply
    2,642.06x = 3,962.76 × 887
  4. Step 4: Simplify right side
    2,642.06x = 3,514,968.12
  5. Step 5: Solve for x
    x = 3,514,968.12/2,642.06
  6. Step 6: Final answer
    x = 1,330.39

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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.