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Finding the Fourth Proportional to 5,561.64, 7,672.88 and 3,571.92

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Solution

The fourth proportional to 5,561.64, 7,672.88 and 3,571.92 is: 4,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.64 : 7,672.88 = 3,571.92 : x
  2. Step 2: Convert to fraction form
    5,561.64/7,672.88 = 3,571.92/x
  3. Step 3: Cross multiply
    5,561.64x = 7,672.88 × 3,571.92
  4. Step 4: Simplify right side
    5,561.64x = 27,406,913.53
  5. Step 5: Solve for x
    x = 27,406,913.53/5,561.64
  6. Step 6: Final answer
    x = 4,927.85

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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.