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Finding the Fourth Proportional to 4,296, 6,445.20 and 1,218

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Solution

The fourth proportional to 4,296, 6,445.20 and 1,218 is: 1,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 6,445.20 = 1,218 : x
  2. Step 2: Convert to fraction form
    4,296/6,445.20 = 1,218/x
  3. Step 3: Cross multiply
    4,296x = 6,445.20 × 1,218
  4. Step 4: Simplify right side
    4,296x = 7,850,253.60
  5. Step 5: Solve for x
    x = 7,850,253.60/4,296
  6. Step 6: Final answer
    x = 1,827.34

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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.