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Finding the Fourth Proportional to 2,659.64, 3,988.14 and 993.69

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Solution

The fourth proportional to 2,659.64, 3,988.14 and 993.69 is: 1,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.64 : 3,988.14 = 993.69 : x
  2. Step 2: Convert to fraction form
    2,659.64/3,988.14 = 993.69/x
  3. Step 3: Cross multiply
    2,659.64x = 3,988.14 × 993.69
  4. Step 4: Simplify right side
    2,659.64x = 3,962,974.84
  5. Step 5: Solve for x
    x = 3,962,974.84/2,659.64
  6. Step 6: Final answer
    x = 1,490.04

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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.