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Finding the Fourth Proportional to 4,610.31, 6,918.20 and 4,318.42

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Solution

The fourth proportional to 4,610.31, 6,918.20 and 4,318.42 is: 6,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.31 : 6,918.20 = 4,318.42 : x
  2. Step 2: Convert to fraction form
    4,610.31/6,918.20 = 4,318.42/x
  3. Step 3: Cross multiply
    4,610.31x = 6,918.20 × 4,318.42
  4. Step 4: Simplify right side
    4,610.31x = 29,875,688.95
  5. Step 5: Solve for x
    x = 29,875,688.95/4,610.31
  6. Step 6: Final answer
    x = 6,480.19

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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.