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Finding the Fourth Proportional to 9,147.56, 12,594.76 and 8,069.56

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Solution

The fourth proportional to 9,147.56, 12,594.76 and 8,069.56 is: 11,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.56 : 12,594.76 = 8,069.56 : x
  2. Step 2: Convert to fraction form
    9,147.56/12,594.76 = 8,069.56/x
  3. Step 3: Cross multiply
    9,147.56x = 12,594.76 × 8,069.56
  4. Step 4: Simplify right side
    9,147.56x = 101,634,119.84
  5. Step 5: Solve for x
    x = 101,634,119.84/9,147.56
  6. Step 6: Final answer
    x = 11,110.52

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Half scale
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Double scale
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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.