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Finding the Fourth Proportional to 2,170.56, 2,995.32 and 1,239

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Solution

The fourth proportional to 2,170.56, 2,995.32 and 1,239 is: 1,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.56 : 2,995.32 = 1,239 : x
  2. Step 2: Convert to fraction form
    2,170.56/2,995.32 = 1,239/x
  3. Step 3: Cross multiply
    2,170.56x = 2,995.32 × 1,239
  4. Step 4: Simplify right side
    2,170.56x = 3,711,201.48
  5. Step 5: Solve for x
    x = 3,711,201.48/2,170.56
  6. Step 6: Final answer
    x = 1,709.79

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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.