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Finding the Fourth Proportional to 8,963.68, 12,369.12 and 5,186.08

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Solution

The fourth proportional to 8,963.68, 12,369.12 and 5,186.08 is: 7,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.68 : 12,369.12 = 5,186.08 : x
  2. Step 2: Convert to fraction form
    8,963.68/12,369.12 = 5,186.08/x
  3. Step 3: Cross multiply
    8,963.68x = 12,369.12 × 5,186.08
  4. Step 4: Simplify right side
    8,963.68x = 64,147,245.85
  5. Step 5: Solve for x
    x = 64,147,245.85/8,963.68
  6. Step 6: Final answer
    x = 7,156.35

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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.