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Finding the Fourth Proportional to 3,249, 4,483.68 and 2,319.12

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Solution

The fourth proportional to 3,249, 4,483.68 and 2,319.12 is: 3,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 4,483.68 = 2,319.12 : x
  2. Step 2: Convert to fraction form
    3,249/4,483.68 = 2,319.12/x
  3. Step 3: Cross multiply
    3,249x = 4,483.68 × 2,319.12
  4. Step 4: Simplify right side
    3,249x = 10,398,191.96
  5. Step 5: Solve for x
    x = 10,398,191.96/3,249
  6. Step 6: Final answer
    x = 3,200.43

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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.