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Finding the Fourth Proportional to 7,694.40, 10,689.60 and 7,622.40

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Solution

The fourth proportional to 7,694.40, 10,689.60 and 7,622.40 is: 10,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.40 : 10,689.60 = 7,622.40 : x
  2. Step 2: Convert to fraction form
    7,694.40/10,689.60 = 7,622.40/x
  3. Step 3: Cross multiply
    7,694.40x = 10,689.60 × 7,622.40
  4. Step 4: Simplify right side
    7,694.40x = 81,480,407.04
  5. Step 5: Solve for x
    x = 81,480,407.04/7,694.40
  6. Step 6: Final answer
    x = 10,589.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.