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Finding the Fourth Proportional to 7,133.85, 9,824.45 and 6,981.21

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Solution

The fourth proportional to 7,133.85, 9,824.45 and 6,981.21 is: 9,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.85 : 9,824.45 = 6,981.21 : x
  2. Step 2: Convert to fraction form
    7,133.85/9,824.45 = 6,981.21/x
  3. Step 3: Cross multiply
    7,133.85x = 9,824.45 × 6,981.21
  4. Step 4: Simplify right side
    7,133.85x = 68,586,513.68
  5. Step 5: Solve for x
    x = 68,586,513.68/7,133.85
  6. Step 6: Final answer
    x = 9,614.24

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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.