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Finding the Fourth Proportional to 13,115.29, 18,099 and 7,146.94

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Solution

The fourth proportional to 13,115.29, 18,099 and 7,146.94 is: 9,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.29 : 18,099 = 7,146.94 : x
  2. Step 2: Convert to fraction form
    13,115.29/18,099 = 7,146.94/x
  3. Step 3: Cross multiply
    13,115.29x = 18,099 × 7,146.94
  4. Step 4: Simplify right side
    13,115.29x = 129,352,467.06
  5. Step 5: Solve for x
    x = 129,352,467.06/13,115.29
  6. Step 6: Final answer
    x = 9,862.72

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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.