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Finding the Fourth Proportional to 3,112, 4,294.56 and 1,714.88

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Solution

The fourth proportional to 3,112, 4,294.56 and 1,714.88 is: 2,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 4,294.56 = 1,714.88 : x
  2. Step 2: Convert to fraction form
    3,112/4,294.56 = 1,714.88/x
  3. Step 3: Cross multiply
    3,112x = 4,294.56 × 1,714.88
  4. Step 4: Simplify right side
    3,112x = 7,364,655.05
  5. Step 5: Solve for x
    x = 7,364,655.05/3,112
  6. Step 6: Final answer
    x = 2,366.53

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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.