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Finding the Fourth Proportional to 8,358.86, 12,537.90 and 2,435.78

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Solution

The fourth proportional to 8,358.86, 12,537.90 and 2,435.78 is: 3,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.86 : 12,537.90 = 2,435.78 : x
  2. Step 2: Convert to fraction form
    8,358.86/12,537.90 = 2,435.78/x
  3. Step 3: Cross multiply
    8,358.86x = 12,537.90 × 2,435.78
  4. Step 4: Simplify right side
    8,358.86x = 30,539,566.06
  5. Step 5: Solve for x
    x = 30,539,566.06/8,358.86
  6. Step 6: Final answer
    x = 3,653.56

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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.