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Finding the Fourth Proportional to 12,695.45, 17,508.84 and 7,658.56

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Solution

The fourth proportional to 12,695.45, 17,508.84 and 7,658.56 is: 10,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.45 : 17,508.84 = 7,658.56 : x
  2. Step 2: Convert to fraction form
    12,695.45/17,508.84 = 7,658.56/x
  3. Step 3: Cross multiply
    12,695.45x = 17,508.84 × 7,658.56
  4. Step 4: Simplify right side
    12,695.45x = 134,092,494.84
  5. Step 5: Solve for x
    x = 134,092,494.84/12,695.45
  6. Step 6: Final answer
    x = 10,562.25

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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.