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Finding the Fourth Proportional to 5,281, 7,287.15 and 2,922.82

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Solution

The fourth proportional to 5,281, 7,287.15 and 2,922.82 is: 4,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281 : 7,287.15 = 2,922.82 : x
  2. Step 2: Convert to fraction form
    5,281/7,287.15 = 2,922.82/x
  3. Step 3: Cross multiply
    5,281x = 7,287.15 × 2,922.82
  4. Step 4: Simplify right side
    5,281x = 21,299,027.76
  5. Step 5: Solve for x
    x = 21,299,027.76/5,281
  6. Step 6: Final answer
    x = 4,033.14

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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.