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Finding the Fourth Proportional to 6,438.69, 9,652.50 and 2,740.41

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Solution

The fourth proportional to 6,438.69, 9,652.50 and 2,740.41 is: 4,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.69 : 9,652.50 = 2,740.41 : x
  2. Step 2: Convert to fraction form
    6,438.69/9,652.50 = 2,740.41/x
  3. Step 3: Cross multiply
    6,438.69x = 9,652.50 × 2,740.41
  4. Step 4: Simplify right side
    6,438.69x = 26,451,807.53
  5. Step 5: Solve for x
    x = 26,451,807.53/6,438.69
  6. Step 6: Final answer
    x = 4,108.26

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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.