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Finding the Fourth Proportional to 11,165.30, 15,408.89 and 7,381.89

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Solution

The fourth proportional to 11,165.30, 15,408.89 and 7,381.89 is: 10,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.30 : 15,408.89 = 7,381.89 : x
  2. Step 2: Convert to fraction form
    11,165.30/15,408.89 = 7,381.89/x
  3. Step 3: Cross multiply
    11,165.30x = 15,408.89 × 7,381.89
  4. Step 4: Simplify right side
    11,165.30x = 113,746,694.09
  5. Step 5: Solve for x
    x = 113,746,694.09/11,165.30
  6. Step 6: Final answer
    x = 10,187.52

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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.