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Finding the Fourth Proportional to 30,558.26, 45,837.36 and 8,371.82

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Solution

The fourth proportional to 30,558.26, 45,837.36 and 8,371.82 is: 12,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,558.26 : 45,837.36 = 8,371.82 : x
  2. Step 2: Convert to fraction form
    30,558.26/45,837.36 = 8,371.82/x
  3. Step 3: Cross multiply
    30,558.26x = 45,837.36 × 8,371.82
  4. Step 4: Simplify right side
    30,558.26x = 383,742,127.20
  5. Step 5: Solve for x
    x = 383,742,127.20/30,558.26
  6. Step 6: Final answer
    x = 12,557.72

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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.