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Finding the Fourth Proportional to 2,897.73, 4,347.20 and 949.78

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Solution

The fourth proportional to 2,897.73, 4,347.20 and 949.78 is: 1,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.73 : 4,347.20 = 949.78 : x
  2. Step 2: Convert to fraction form
    2,897.73/4,347.20 = 949.78/x
  3. Step 3: Cross multiply
    2,897.73x = 4,347.20 × 949.78
  4. Step 4: Simplify right side
    2,897.73x = 4,128,883.62
  5. Step 5: Solve for x
    x = 4,128,883.62/2,897.73
  6. Step 6: Final answer
    x = 1,424.87

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1.5x scale

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.