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Finding the Fourth Proportional to 2,869.40, 3,959.70 and 1,627.40

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Solution

The fourth proportional to 2,869.40, 3,959.70 and 1,627.40 is: 2,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.40 : 3,959.70 = 1,627.40 : x
  2. Step 2: Convert to fraction form
    2,869.40/3,959.70 = 1,627.40/x
  3. Step 3: Cross multiply
    2,869.40x = 3,959.70 × 1,627.40
  4. Step 4: Simplify right side
    2,869.40x = 6,444,015.78
  5. Step 5: Solve for x
    x = 6,444,015.78/2,869.40
  6. Step 6: Final answer
    x = 2,245.77

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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.