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Finding the Fourth Proportional to 7,221.84, 10,838.42 and 3,711.70

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Solution

The fourth proportional to 7,221.84, 10,838.42 and 3,711.70 is: 5,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.84 : 10,838.42 = 3,711.70 : x
  2. Step 2: Convert to fraction form
    7,221.84/10,838.42 = 3,711.70/x
  3. Step 3: Cross multiply
    7,221.84x = 10,838.42 × 3,711.70
  4. Step 4: Simplify right side
    7,221.84x = 40,228,963.51
  5. Step 5: Solve for x
    x = 40,228,963.51/7,221.84
  6. Step 6: Final answer
    x = 5,570.46

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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.