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Finding the Fourth Proportional to 2,835.91, 4,254.31 and 987.55

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Solution

The fourth proportional to 2,835.91, 4,254.31 and 987.55 is: 1,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.91 : 4,254.31 = 987.55 : x
  2. Step 2: Convert to fraction form
    2,835.91/4,254.31 = 987.55/x
  3. Step 3: Cross multiply
    2,835.91x = 4,254.31 × 987.55
  4. Step 4: Simplify right side
    2,835.91x = 4,201,334.44
  5. Step 5: Solve for x
    x = 4,201,334.44/2,835.91
  6. Step 6: Final answer
    x = 1,481.48

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1.5x scale

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.