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Finding the Fourth Proportional to 7,338, 11,001.76 and 3,440.28

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Solution

The fourth proportional to 7,338, 11,001.76 and 3,440.28 is: 5,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338 : 11,001.76 = 3,440.28 : x
  2. Step 2: Convert to fraction form
    7,338/11,001.76 = 3,440.28/x
  3. Step 3: Cross multiply
    7,338x = 11,001.76 × 3,440.28
  4. Step 4: Simplify right side
    7,338x = 37,849,134.89
  5. Step 5: Solve for x
    x = 37,849,134.89/7,338
  6. Step 6: Final answer
    x = 5,157.96

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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.