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Finding the Fourth Proportional to 7,223, 9,967.76 and 3,911

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Solution

The fourth proportional to 7,223, 9,967.76 and 3,911 is: 5,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223 : 9,967.76 = 3,911 : x
  2. Step 2: Convert to fraction form
    7,223/9,967.76 = 3,911/x
  3. Step 3: Cross multiply
    7,223x = 9,967.76 × 3,911
  4. Step 4: Simplify right side
    7,223x = 38,983,909.36
  5. Step 5: Solve for x
    x = 38,983,909.36/7,223
  6. Step 6: Final answer
    x = 5,397.19

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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.