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Finding the Fourth Proportional to 3,549, 4,897.62 and 2,151.75

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Solution

The fourth proportional to 3,549, 4,897.62 and 2,151.75 is: 2,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549 : 4,897.62 = 2,151.75 : x
  2. Step 2: Convert to fraction form
    3,549/4,897.62 = 2,151.75/x
  3. Step 3: Cross multiply
    3,549x = 4,897.62 × 2,151.75
  4. Step 4: Simplify right side
    3,549x = 10,538,453.84
  5. Step 5: Solve for x
    x = 10,538,453.84/3,549
  6. Step 6: Final answer
    x = 2,969.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.