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Finding the Fourth Proportional to 3,966.93, 5,950.53 and 1,298.79

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Solution

The fourth proportional to 3,966.93, 5,950.53 and 1,298.79 is: 1,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.93 : 5,950.53 = 1,298.79 : x
  2. Step 2: Convert to fraction form
    3,966.93/5,950.53 = 1,298.79/x
  3. Step 3: Cross multiply
    3,966.93x = 5,950.53 × 1,298.79
  4. Step 4: Simplify right side
    3,966.93x = 7,728,488.86
  5. Step 5: Solve for x
    x = 7,728,488.86/3,966.93
  6. Step 6: Final answer
    x = 1,948.23

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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.