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Finding the Fourth Proportional to 12,716.16, 17,543.04 and 7,408.32

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Solution

The fourth proportional to 12,716.16, 17,543.04 and 7,408.32 is: 10,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.16 : 17,543.04 = 7,408.32 : x
  2. Step 2: Convert to fraction form
    12,716.16/17,543.04 = 7,408.32/x
  3. Step 3: Cross multiply
    12,716.16x = 17,543.04 × 7,408.32
  4. Step 4: Simplify right side
    12,716.16x = 129,964,454.09
  5. Step 5: Solve for x
    x = 129,964,454.09/12,716.16
  6. Step 6: Final answer
    x = 10,220.42

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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.