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Finding the Fourth Proportional to 5,431, 7,494.78 and 2,947

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Solution

The fourth proportional to 5,431, 7,494.78 and 2,947 is: 4,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 7,494.78 = 2,947 : x
  2. Step 2: Convert to fraction form
    5,431/7,494.78 = 2,947/x
  3. Step 3: Cross multiply
    5,431x = 7,494.78 × 2,947
  4. Step 4: Simplify right side
    5,431x = 22,087,116.66
  5. Step 5: Solve for x
    x = 22,087,116.66/5,431
  6. Step 6: Final answer
    x = 4,066.86

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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.