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Finding the Fourth Proportional to 7,117.68, 10,723.98 and 6,425.14

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Solution

The fourth proportional to 7,117.68, 10,723.98 and 6,425.14 is: 9,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.68 : 10,723.98 = 6,425.14 : x
  2. Step 2: Convert to fraction form
    7,117.68/10,723.98 = 6,425.14/x
  3. Step 3: Cross multiply
    7,117.68x = 10,723.98 × 6,425.14
  4. Step 4: Simplify right side
    7,117.68x = 68,903,072.86
  5. Step 5: Solve for x
    x = 68,903,072.86/7,117.68
  6. Step 6: Final answer
    x = 9,680.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.