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Finding the Fourth Proportional to 12,797.57, 17,661.66 and 7,134.14

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Solution

The fourth proportional to 12,797.57, 17,661.66 and 7,134.14 is: 9,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.57 : 17,661.66 = 7,134.14 : x
  2. Step 2: Convert to fraction form
    12,797.57/17,661.66 = 7,134.14/x
  3. Step 3: Cross multiply
    12,797.57x = 17,661.66 × 7,134.14
  4. Step 4: Simplify right side
    12,797.57x = 126,000,666.76
  5. Step 5: Solve for x
    x = 126,000,666.76/12,797.57
  6. Step 6: Final answer
    x = 9,845.68

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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.