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Finding the Fourth Proportional to 5,304.81, 7,320.95 and 2,947.11

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Solution

The fourth proportional to 5,304.81, 7,320.95 and 2,947.11 is: 4,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.81 : 7,320.95 = 2,947.11 : x
  2. Step 2: Convert to fraction form
    5,304.81/7,320.95 = 2,947.11/x
  3. Step 3: Cross multiply
    5,304.81x = 7,320.95 × 2,947.11
  4. Step 4: Simplify right side
    5,304.81x = 21,575,644.95
  5. Step 5: Solve for x
    x = 21,575,644.95/5,304.81
  6. Step 6: Final answer
    x = 4,067.19

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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.