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Finding the Fourth Proportional to 3,146.80, 4,697.48 and 2,758

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Solution

The fourth proportional to 3,146.80, 4,697.48 and 2,758 is: 4,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.80 : 4,697.48 = 2,758 : x
  2. Step 2: Convert to fraction form
    3,146.80/4,697.48 = 2,758/x
  3. Step 3: Cross multiply
    3,146.80x = 4,697.48 × 2,758
  4. Step 4: Simplify right side
    3,146.80x = 12,955,649.84
  5. Step 5: Solve for x
    x = 12,955,649.84/3,146.80
  6. Step 6: Final answer
    x = 4,117.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.