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Finding the Fourth Proportional to 7,334.74, 10,981.14 and 6,869.21

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Solution

The fourth proportional to 7,334.74, 10,981.14 and 6,869.21 is: 10,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.74 : 10,981.14 = 6,869.21 : x
  2. Step 2: Convert to fraction form
    7,334.74/10,981.14 = 6,869.21/x
  3. Step 3: Cross multiply
    7,334.74x = 10,981.14 × 6,869.21
  4. Step 4: Simplify right side
    7,334.74x = 75,431,701.79
  5. Step 5: Solve for x
    x = 75,431,701.79/7,334.74
  6. Step 6: Final answer
    x = 10,284.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.