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Finding the Fourth Proportional to 8,689.86, 13,033.32 and 4,009.68

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Solution

The fourth proportional to 8,689.86, 13,033.32 and 4,009.68 is: 6,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.86 : 13,033.32 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    8,689.86/13,033.32 = 4,009.68/x
  3. Step 3: Cross multiply
    8,689.86x = 13,033.32 × 4,009.68
  4. Step 4: Simplify right side
    8,689.86x = 52,259,442.54
  5. Step 5: Solve for x
    x = 52,259,442.54/8,689.86
  6. Step 6: Final answer
    x = 6,013.84

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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.