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Finding the Fourth Proportional to 9,165.46, 12,646.41 and 5,187.54

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Solution

The fourth proportional to 9,165.46, 12,646.41 and 5,187.54 is: 7,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.46 : 12,646.41 = 5,187.54 : x
  2. Step 2: Convert to fraction form
    9,165.46/12,646.41 = 5,187.54/x
  3. Step 3: Cross multiply
    9,165.46x = 12,646.41 × 5,187.54
  4. Step 4: Simplify right side
    9,165.46x = 65,603,757.73
  5. Step 5: Solve for x
    x = 65,603,757.73/9,165.46
  6. Step 6: Final answer
    x = 7,157.72

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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.