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Finding the Fourth Proportional to 5,274.76, 7,280 and 3,178.88

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Solution

The fourth proportional to 5,274.76, 7,280 and 3,178.88 is: 4,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.76 : 7,280 = 3,178.88 : x
  2. Step 2: Convert to fraction form
    5,274.76/7,280 = 3,178.88/x
  3. Step 3: Cross multiply
    5,274.76x = 7,280 × 3,178.88
  4. Step 4: Simplify right side
    5,274.76x = 23,142,246.40
  5. Step 5: Solve for x
    x = 23,142,246.40/5,274.76
  6. Step 6: Final answer
    x = 4,387.36

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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.