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Finding the Fourth Proportional to 12,474.92, 17,207.83 and 7,435.78

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Solution

The fourth proportional to 12,474.92, 17,207.83 and 7,435.78 is: 10,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.92 : 17,207.83 = 7,435.78 : x
  2. Step 2: Convert to fraction form
    12,474.92/17,207.83 = 7,435.78/x
  3. Step 3: Cross multiply
    12,474.92x = 17,207.83 × 7,435.78
  4. Step 4: Simplify right side
    12,474.92x = 127,953,638.16
  5. Step 5: Solve for x
    x = 127,953,638.16/12,474.92
  6. Step 6: Final answer
    x = 10,256.87

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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.