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Finding the Fourth Proportional to 1,872.97, 2,809.58 and 947.88

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Solution

The fourth proportional to 1,872.97, 2,809.58 and 947.88 is: 1,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.97 : 2,809.58 = 947.88 : x
  2. Step 2: Convert to fraction form
    1,872.97/2,809.58 = 947.88/x
  3. Step 3: Cross multiply
    1,872.97x = 2,809.58 × 947.88
  4. Step 4: Simplify right side
    1,872.97x = 2,663,144.69
  5. Step 5: Solve for x
    x = 2,663,144.69/1,872.97
  6. Step 6: Final answer
    x = 1,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.