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Finding the Fourth Proportional to 3,729.48, 5,145.48 and 2,400.84

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Solution

The fourth proportional to 3,729.48, 5,145.48 and 2,400.84 is: 3,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.48 : 5,145.48 = 2,400.84 : x
  2. Step 2: Convert to fraction form
    3,729.48/5,145.48 = 2,400.84/x
  3. Step 3: Cross multiply
    3,729.48x = 5,145.48 × 2,400.84
  4. Step 4: Simplify right side
    3,729.48x = 12,353,474.20
  5. Step 5: Solve for x
    x = 12,353,474.20/3,729.48
  6. Step 6: Final answer
    x = 3,312.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.