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Finding the Fourth Proportional to 3,146.88, 4,714.56 and 2,316

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Solution

The fourth proportional to 3,146.88, 4,714.56 and 2,316 is: 3,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.88 : 4,714.56 = 2,316 : x
  2. Step 2: Convert to fraction form
    3,146.88/4,714.56 = 2,316/x
  3. Step 3: Cross multiply
    3,146.88x = 4,714.56 × 2,316
  4. Step 4: Simplify right side
    3,146.88x = 10,918,920.96
  5. Step 5: Solve for x
    x = 10,918,920.96/3,146.88
  6. Step 6: Final answer
    x = 3,469.76

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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.