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Finding the Fourth Proportional to 2,125.87, 3,188.40 and 740.11

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Solution

The fourth proportional to 2,125.87, 3,188.40 and 740.11 is: 1,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.87 : 3,188.40 = 740.11 : x
  2. Step 2: Convert to fraction form
    2,125.87/3,188.40 = 740.11/x
  3. Step 3: Cross multiply
    2,125.87x = 3,188.40 × 740.11
  4. Step 4: Simplify right side
    2,125.87x = 2,359,766.72
  5. Step 5: Solve for x
    x = 2,359,766.72/2,125.87
  6. Step 6: Final answer
    x = 1,110.02

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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.