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Finding the Fourth Proportional to 30,557, 45,843.18 and 8,669

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Solution

The fourth proportional to 30,557, 45,843.18 and 8,669 is: 13,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557 : 45,843.18 = 8,669 : x
  2. Step 2: Convert to fraction form
    30,557/45,843.18 = 8,669/x
  3. Step 3: Cross multiply
    30,557x = 45,843.18 × 8,669
  4. Step 4: Simplify right side
    30,557x = 397,414,527.42
  5. Step 5: Solve for x
    x = 397,414,527.42/30,557
  6. Step 6: Final answer
    x = 13,005.68

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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.