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Finding the Fourth Proportional to 9,689.64, 13,375.76 and 6,550.08

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Solution

The fourth proportional to 9,689.64, 13,375.76 and 6,550.08 is: 9,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.64 : 13,375.76 = 6,550.08 : x
  2. Step 2: Convert to fraction form
    9,689.64/13,375.76 = 6,550.08/x
  3. Step 3: Cross multiply
    9,689.64x = 13,375.76 × 6,550.08
  4. Step 4: Simplify right side
    9,689.64x = 87,612,314.44
  5. Step 5: Solve for x
    x = 87,612,314.44/9,689.64
  6. Step 6: Final answer
    x = 9,041.85

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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.