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Finding the Fourth Proportional to 1,591.84, 2,197.36 and 1,549.92

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Solution

The fourth proportional to 1,591.84, 2,197.36 and 1,549.92 is: 2,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.84 : 2,197.36 = 1,549.92 : x
  2. Step 2: Convert to fraction form
    1,591.84/2,197.36 = 1,549.92/x
  3. Step 3: Cross multiply
    1,591.84x = 2,197.36 × 1,549.92
  4. Step 4: Simplify right side
    1,591.84x = 3,405,730.03
  5. Step 5: Solve for x
    x = 3,405,730.03/1,591.84
  6. Step 6: Final answer
    x = 2,139.50

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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.