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Finding the Fourth Proportional to 8,971.52, 12,379.30 and 5,193.95

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Solution

The fourth proportional to 8,971.52, 12,379.30 and 5,193.95 is: 7,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.52 : 12,379.30 = 5,193.95 : x
  2. Step 2: Convert to fraction form
    8,971.52/12,379.30 = 5,193.95/x
  3. Step 3: Cross multiply
    8,971.52x = 12,379.30 × 5,193.95
  4. Step 4: Simplify right side
    8,971.52x = 64,297,483.20
  5. Step 5: Solve for x
    x = 64,297,483.20/8,971.52
  6. Step 6: Final answer
    x = 7,166.84

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Why These Related Problems?

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