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Finding the Fourth Proportional to 3,494.24, 4,822.80 and 2,002.40

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Solution

The fourth proportional to 3,494.24, 4,822.80 and 2,002.40 is: 2,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.24 : 4,822.80 = 2,002.40 : x
  2. Step 2: Convert to fraction form
    3,494.24/4,822.80 = 2,002.40/x
  3. Step 3: Cross multiply
    3,494.24x = 4,822.80 × 2,002.40
  4. Step 4: Simplify right side
    3,494.24x = 9,657,174.72
  5. Step 5: Solve for x
    x = 9,657,174.72/3,494.24
  6. Step 6: Final answer
    x = 2,763.74

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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.