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Finding the Fourth Proportional to 3,952.80, 5,931.13 and 1,870.33

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Solution

The fourth proportional to 3,952.80, 5,931.13 and 1,870.33 is: 2,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,931.13 = 1,870.33 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,931.13 = 1,870.33/x
  3. Step 3: Cross multiply
    3,952.80x = 5,931.13 × 1,870.33
  4. Step 4: Simplify right side
    3,952.80x = 11,093,143.17
  5. Step 5: Solve for x
    x = 11,093,143.17/3,952.80
  6. Step 6: Final answer
    x = 2,806.40

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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.