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Finding the Fourth Proportional to 9,118, 13,671.58 and 3,564.90

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Solution

The fourth proportional to 9,118, 13,671.58 and 3,564.90 is: 5,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118 : 13,671.58 = 3,564.90 : x
  2. Step 2: Convert to fraction form
    9,118/13,671.58 = 3,564.90/x
  3. Step 3: Cross multiply
    9,118x = 13,671.58 × 3,564.90
  4. Step 4: Simplify right side
    9,118x = 48,737,815.54
  5. Step 5: Solve for x
    x = 48,737,815.54/9,118
  6. Step 6: Final answer
    x = 5,345.23

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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.