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Finding the Fourth Proportional to 9,914.32, 14,871.56 and 2,987.92

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Solution

The fourth proportional to 9,914.32, 14,871.56 and 2,987.92 is: 4,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.32 : 14,871.56 = 2,987.92 : x
  2. Step 2: Convert to fraction form
    9,914.32/14,871.56 = 2,987.92/x
  3. Step 3: Cross multiply
    9,914.32x = 14,871.56 × 2,987.92
  4. Step 4: Simplify right side
    9,914.32x = 44,435,031.56
  5. Step 5: Solve for x
    x = 44,435,031.56/9,914.32
  6. Step 6: Final answer
    x = 4,481.90

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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.