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Finding the Fourth Proportional to 11,770.25, 17,655.34 and 7,390.78

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Solution

The fourth proportional to 11,770.25, 17,655.34 and 7,390.78 is: 11,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.25 : 17,655.34 = 7,390.78 : x
  2. Step 2: Convert to fraction form
    11,770.25/17,655.34 = 7,390.78/x
  3. Step 3: Cross multiply
    11,770.25x = 17,655.34 × 7,390.78
  4. Step 4: Simplify right side
    11,770.25x = 130,486,733.77
  5. Step 5: Solve for x
    x = 130,486,733.77/11,770.25
  6. Step 6: Final answer
    x = 11,086.15

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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.