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Finding the Fourth Proportional to 7,179.36, 9,903.24 and 4,380

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Solution

The fourth proportional to 7,179.36, 9,903.24 and 4,380 is: 6,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.36 : 9,903.24 = 4,380 : x
  2. Step 2: Convert to fraction form
    7,179.36/9,903.24 = 4,380/x
  3. Step 3: Cross multiply
    7,179.36x = 9,903.24 × 4,380
  4. Step 4: Simplify right side
    7,179.36x = 43,376,191.20
  5. Step 5: Solve for x
    x = 43,376,191.20/7,179.36
  6. Step 6: Final answer
    x = 6,041.79

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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.