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Finding the Fourth Proportional to 3,699.84, 5,543.36 and 1,963.20

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Solution

The fourth proportional to 3,699.84, 5,543.36 and 1,963.20 is: 2,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.84 : 5,543.36 = 1,963.20 : x
  2. Step 2: Convert to fraction form
    3,699.84/5,543.36 = 1,963.20/x
  3. Step 3: Cross multiply
    3,699.84x = 5,543.36 × 1,963.20
  4. Step 4: Simplify right side
    3,699.84x = 10,882,724.35
  5. Step 5: Solve for x
    x = 10,882,724.35/3,699.84
  6. Step 6: Final answer
    x = 2,941.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.