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Finding the Fourth Proportional to 9,137.66, 12,609.70 and 5,159.14

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Solution

The fourth proportional to 9,137.66, 12,609.70 and 5,159.14 is: 7,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.66 : 12,609.70 = 5,159.14 : x
  2. Step 2: Convert to fraction form
    9,137.66/12,609.70 = 5,159.14/x
  3. Step 3: Cross multiply
    9,137.66x = 12,609.70 × 5,159.14
  4. Step 4: Simplify right side
    9,137.66x = 65,055,163.24
  5. Step 5: Solve for x
    x = 65,055,163.24/9,137.66
  6. Step 6: Final answer
    x = 7,119.46

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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.