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Finding the Fourth Proportional to 7,218, 10,825.45 and 4,214.03

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Solution

The fourth proportional to 7,218, 10,825.45 and 4,214.03 is: 6,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 10,825.45 = 4,214.03 : x
  2. Step 2: Convert to fraction form
    7,218/10,825.45 = 4,214.03/x
  3. Step 3: Cross multiply
    7,218x = 10,825.45 × 4,214.03
  4. Step 4: Simplify right side
    7,218x = 45,618,787.59
  5. Step 5: Solve for x
    x = 45,618,787.59/7,218
  6. Step 6: Final answer
    x = 6,320.14

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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.