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Finding the Fourth Proportional to 6,317.79, 9,472.96 and 3,787.38

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Solution

The fourth proportional to 6,317.79, 9,472.96 and 3,787.38 is: 5,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.79 : 9,472.96 = 3,787.38 : x
  2. Step 2: Convert to fraction form
    6,317.79/9,472.96 = 3,787.38/x
  3. Step 3: Cross multiply
    6,317.79x = 9,472.96 × 3,787.38
  4. Step 4: Simplify right side
    6,317.79x = 35,877,699.24
  5. Step 5: Solve for x
    x = 35,877,699.24/6,317.79
  6. Step 6: Final answer
    x = 5,678.84

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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.