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Finding the Fourth Proportional to 3,610.40, 5,420.48 and 2,314.40

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Solution

The fourth proportional to 3,610.40, 5,420.48 and 2,314.40 is: 3,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.40 : 5,420.48 = 2,314.40 : x
  2. Step 2: Convert to fraction form
    3,610.40/5,420.48 = 2,314.40/x
  3. Step 3: Cross multiply
    3,610.40x = 5,420.48 × 2,314.40
  4. Step 4: Simplify right side
    3,610.40x = 12,545,158.91
  5. Step 5: Solve for x
    x = 12,545,158.91/3,610.40
  6. Step 6: Final answer
    x = 3,474.73

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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.