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Finding the Fourth Proportional to 5,571.84, 7,689.36 and 3,214.20

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Solution

The fourth proportional to 5,571.84, 7,689.36 and 3,214.20 is: 4,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.84 : 7,689.36 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    5,571.84/7,689.36 = 3,214.20/x
  3. Step 3: Cross multiply
    5,571.84x = 7,689.36 × 3,214.20
  4. Step 4: Simplify right side
    5,571.84x = 24,715,140.91
  5. Step 5: Solve for x
    x = 24,715,140.91/5,571.84
  6. Step 6: Final answer
    x = 4,435.72

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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.