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Finding the Fourth Proportional to 7,141.44, 10,712.10 and 1,947.32

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Solution

The fourth proportional to 7,141.44, 10,712.10 and 1,947.32 is: 2,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.44 : 10,712.10 = 1,947.32 : x
  2. Step 2: Convert to fraction form
    7,141.44/10,712.10 = 1,947.32/x
  3. Step 3: Cross multiply
    7,141.44x = 10,712.10 × 1,947.32
  4. Step 4: Simplify right side
    7,141.44x = 20,859,886.57
  5. Step 5: Solve for x
    x = 20,859,886.57/7,141.44
  6. Step 6: Final answer
    x = 2,920.96

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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.