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Finding the Fourth Proportional to 8,971.82, 12,381.10 and 4,993.28

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Solution

The fourth proportional to 8,971.82, 12,381.10 and 4,993.28 is: 6,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.82 : 12,381.10 = 4,993.28 : x
  2. Step 2: Convert to fraction form
    8,971.82/12,381.10 = 4,993.28/x
  3. Step 3: Cross multiply
    8,971.82x = 12,381.10 × 4,993.28
  4. Step 4: Simplify right side
    8,971.82x = 61,822,299.01
  5. Step 5: Solve for x
    x = 61,822,299.01/8,971.82
  6. Step 6: Final answer
    x = 6,890.72

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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.