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Finding the Fourth Proportional to 7,687.88, 10,609.08 and 4,330.64

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Solution

The fourth proportional to 7,687.88, 10,609.08 and 4,330.64 is: 5,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.88 : 10,609.08 = 4,330.64 : x
  2. Step 2: Convert to fraction form
    7,687.88/10,609.08 = 4,330.64/x
  3. Step 3: Cross multiply
    7,687.88x = 10,609.08 × 4,330.64
  4. Step 4: Simplify right side
    7,687.88x = 45,944,106.21
  5. Step 5: Solve for x
    x = 45,944,106.21/7,687.88
  6. Step 6: Final answer
    x = 5,976.17

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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.