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Finding the Fourth Proportional to 7,154, 10,731.04 and 2,223.52

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Solution

The fourth proportional to 7,154, 10,731.04 and 2,223.52 is: 3,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154 : 10,731.04 = 2,223.52 : x
  2. Step 2: Convert to fraction form
    7,154/10,731.04 = 2,223.52/x
  3. Step 3: Cross multiply
    7,154x = 10,731.04 × 2,223.52
  4. Step 4: Simplify right side
    7,154x = 23,860,682.06
  5. Step 5: Solve for x
    x = 23,860,682.06/7,154
  6. Step 6: Final answer
    x = 3,335.29

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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.