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Finding the Fourth Proportional to 3,549.92, 4,899.12 and 2,309.60

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Solution

The fourth proportional to 3,549.92, 4,899.12 and 2,309.60 is: 3,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.92 : 4,899.12 = 2,309.60 : x
  2. Step 2: Convert to fraction form
    3,549.92/4,899.12 = 2,309.60/x
  3. Step 3: Cross multiply
    3,549.92x = 4,899.12 × 2,309.60
  4. Step 4: Simplify right side
    3,549.92x = 11,315,007.55
  5. Step 5: Solve for x
    x = 11,315,007.55/3,549.92
  6. Step 6: Final answer
    x = 3,187.40

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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.