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Finding the Fourth Proportional to 12,774.68, 17,630.76 and 7,186.76

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Solution

The fourth proportional to 12,774.68, 17,630.76 and 7,186.76 is: 9,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.68 : 17,630.76 = 7,186.76 : x
  2. Step 2: Convert to fraction form
    12,774.68/17,630.76 = 7,186.76/x
  3. Step 3: Cross multiply
    12,774.68x = 17,630.76 × 7,186.76
  4. Step 4: Simplify right side
    12,774.68x = 126,708,040.74
  5. Step 5: Solve for x
    x = 126,708,040.74/12,774.68
  6. Step 6: Final answer
    x = 9,918.69

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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.