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Finding the Fourth Proportional to 9,891.62, 13,656.80 and 8,827.55

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Solution

The fourth proportional to 9,891.62, 13,656.80 and 8,827.55 is: 12,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.62 : 13,656.80 = 8,827.55 : x
  2. Step 2: Convert to fraction form
    9,891.62/13,656.80 = 8,827.55/x
  3. Step 3: Cross multiply
    9,891.62x = 13,656.80 × 8,827.55
  4. Step 4: Simplify right side
    9,891.62x = 120,556,040.70
  5. Step 5: Solve for x
    x = 120,556,040.70/9,891.62
  6. Step 6: Final answer
    x = 12,187.70

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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.