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Finding the Fourth Proportional to 5,615.91, 8,421.42 and 2,982.84

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Solution

The fourth proportional to 5,615.91, 8,421.42 and 2,982.84 is: 4,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.91 : 8,421.42 = 2,982.84 : x
  2. Step 2: Convert to fraction form
    5,615.91/8,421.42 = 2,982.84/x
  3. Step 3: Cross multiply
    5,615.91x = 8,421.42 × 2,982.84
  4. Step 4: Simplify right side
    5,615.91x = 25,119,728.04
  5. Step 5: Solve for x
    x = 25,119,728.04/5,615.91
  6. Step 6: Final answer
    x = 4,472.96

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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.