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Finding the Fourth Proportional to 3,937.68, 5,429.16 and 3,188.88

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Solution

The fourth proportional to 3,937.68, 5,429.16 and 3,188.88 is: 4,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,429.16 = 3,188.88 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,429.16 = 3,188.88/x
  3. Step 3: Cross multiply
    3,937.68x = 5,429.16 × 3,188.88
  4. Step 4: Simplify right side
    3,937.68x = 17,312,939.74
  5. Step 5: Solve for x
    x = 17,312,939.74/3,937.68
  6. Step 6: Final answer
    x = 4,396.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.