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Finding the Fourth Proportional to 3,176.64, 4,764.96 and 868.16

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Solution

The fourth proportional to 3,176.64, 4,764.96 and 868.16 is: 1,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.64 : 4,764.96 = 868.16 : x
  2. Step 2: Convert to fraction form
    3,176.64/4,764.96 = 868.16/x
  3. Step 3: Cross multiply
    3,176.64x = 4,764.96 × 868.16
  4. Step 4: Simplify right side
    3,176.64x = 4,136,747.67
  5. Step 5: Solve for x
    x = 4,136,747.67/3,176.64
  6. Step 6: Final answer
    x = 1,302.24

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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.