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Finding the Fourth Proportional to 13,079.70, 18,049.49 and 7,111.16

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Solution

The fourth proportional to 13,079.70, 18,049.49 and 7,111.16 is: 9,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079.70 : 18,049.49 = 7,111.16 : x
  2. Step 2: Convert to fraction form
    13,079.70/18,049.49 = 7,111.16/x
  3. Step 3: Cross multiply
    13,079.70x = 18,049.49 × 7,111.16
  4. Step 4: Simplify right side
    13,079.70x = 128,352,874.21
  5. Step 5: Solve for x
    x = 128,352,874.21/13,079.70
  6. Step 6: Final answer
    x = 9,813.14

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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.