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Finding the Fourth Proportional to 8,589.74, 11,853.59 and 5,005.49

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Solution

The fourth proportional to 8,589.74, 11,853.59 and 5,005.49 is: 6,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.74 : 11,853.59 = 5,005.49 : x
  2. Step 2: Convert to fraction form
    8,589.74/11,853.59 = 5,005.49/x
  3. Step 3: Cross multiply
    8,589.74x = 11,853.59 × 5,005.49
  4. Step 4: Simplify right side
    8,589.74x = 59,333,023.91
  5. Step 5: Solve for x
    x = 59,333,023.91/8,589.74
  6. Step 6: Final answer
    x = 6,907.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.