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Finding the Fourth Proportional to 3,950.98, 5,925.76 and 1,029.11

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Solution

The fourth proportional to 3,950.98, 5,925.76 and 1,029.11 is: 1,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.98 : 5,925.76 = 1,029.11 : x
  2. Step 2: Convert to fraction form
    3,950.98/5,925.76 = 1,029.11/x
  3. Step 3: Cross multiply
    3,950.98x = 5,925.76 × 1,029.11
  4. Step 4: Simplify right side
    3,950.98x = 6,098,226.67
  5. Step 5: Solve for x
    x = 6,098,226.67/3,950.98
  6. Step 6: Final answer
    x = 1,543.47

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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.