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Finding the Fourth Proportional to 9,165.63, 12,648.92 and 5,186.91

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Solution

The fourth proportional to 9,165.63, 12,648.92 and 5,186.91 is: 7,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.63 : 12,648.92 = 5,186.91 : x
  2. Step 2: Convert to fraction form
    9,165.63/12,648.92 = 5,186.91/x
  3. Step 3: Cross multiply
    9,165.63x = 12,648.92 × 5,186.91
  4. Step 4: Simplify right side
    9,165.63x = 65,608,783.70
  5. Step 5: Solve for x
    x = 65,608,783.70/9,165.63
  6. Step 6: Final answer
    x = 7,158.13

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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.