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Finding the Fourth Proportional to 3,859.52, 5,324.16 and 2,460.80

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Solution

The fourth proportional to 3,859.52, 5,324.16 and 2,460.80 is: 3,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.52 : 5,324.16 = 2,460.80 : x
  2. Step 2: Convert to fraction form
    3,859.52/5,324.16 = 2,460.80/x
  3. Step 3: Cross multiply
    3,859.52x = 5,324.16 × 2,460.80
  4. Step 4: Simplify right side
    3,859.52x = 13,101,692.93
  5. Step 5: Solve for x
    x = 13,101,692.93/3,859.52
  6. Step 6: Final answer
    x = 3,394.64

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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.