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Finding the Fourth Proportional to 3,950.64, 5,925.96 and 1,642.14

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Solution

The fourth proportional to 3,950.64, 5,925.96 and 1,642.14 is: 2,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.64 : 5,925.96 = 1,642.14 : x
  2. Step 2: Convert to fraction form
    3,950.64/5,925.96 = 1,642.14/x
  3. Step 3: Cross multiply
    3,950.64x = 5,925.96 × 1,642.14
  4. Step 4: Simplify right side
    3,950.64x = 9,731,255.95
  5. Step 5: Solve for x
    x = 9,731,255.95/3,950.64
  6. Step 6: Final answer
    x = 2,463.21

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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.