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Finding the Fourth Proportional to 5,672.84, 7,828.18 and 3,154.82

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Solution

The fourth proportional to 5,672.84, 7,828.18 and 3,154.82 is: 4,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.84 : 7,828.18 = 3,154.82 : x
  2. Step 2: Convert to fraction form
    5,672.84/7,828.18 = 3,154.82/x
  3. Step 3: Cross multiply
    5,672.84x = 7,828.18 × 3,154.82
  4. Step 4: Simplify right side
    5,672.84x = 24,696,451.80
  5. Step 5: Solve for x
    x = 24,696,451.80/5,672.84
  6. Step 6: Final answer
    x = 4,353.46

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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.