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Finding the Fourth Proportional to 3,117.78, 4,676.13 and 1,655.46

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Solution

The fourth proportional to 3,117.78, 4,676.13 and 1,655.46 is: 2,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.78 : 4,676.13 = 1,655.46 : x
  2. Step 2: Convert to fraction form
    3,117.78/4,676.13 = 1,655.46/x
  3. Step 3: Cross multiply
    3,117.78x = 4,676.13 × 1,655.46
  4. Step 4: Simplify right side
    3,117.78x = 7,741,146.17
  5. Step 5: Solve for x
    x = 7,741,146.17/3,117.78
  6. Step 6: Final answer
    x = 2,482.90

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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.