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Finding the Fourth Proportional to 12,578, 17,347.34 and 7,794.62

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Solution

The fourth proportional to 12,578, 17,347.34 and 7,794.62 is: 10,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 17,347.34 = 7,794.62 : x
  2. Step 2: Convert to fraction form
    12,578/17,347.34 = 7,794.62/x
  3. Step 3: Cross multiply
    12,578x = 17,347.34 × 7,794.62
  4. Step 4: Simplify right side
    12,578x = 135,215,923.31
  5. Step 5: Solve for x
    x = 135,215,923.31/12,578
  6. Step 6: Final answer
    x = 10,750.19

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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.