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Finding the Fourth Proportional to 3,103.70, 4,678.80 and 2,897.49

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Solution

The fourth proportional to 3,103.70, 4,678.80 and 2,897.49 is: 4,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.70 : 4,678.80 = 2,897.49 : x
  2. Step 2: Convert to fraction form
    3,103.70/4,678.80 = 2,897.49/x
  3. Step 3: Cross multiply
    3,103.70x = 4,678.80 × 2,897.49
  4. Step 4: Simplify right side
    3,103.70x = 13,556,776.21
  5. Step 5: Solve for x
    x = 13,556,776.21/3,103.70
  6. Step 6: Final answer
    x = 4,367.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.