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Finding the Fourth Proportional to 8,381.70, 12,572.51 and 4,917.06

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Solution

The fourth proportional to 8,381.70, 12,572.51 and 4,917.06 is: 7,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.70 : 12,572.51 = 4,917.06 : x
  2. Step 2: Convert to fraction form
    8,381.70/12,572.51 = 4,917.06/x
  3. Step 3: Cross multiply
    8,381.70x = 12,572.51 × 4,917.06
  4. Step 4: Simplify right side
    8,381.70x = 61,819,786.02
  5. Step 5: Solve for x
    x = 61,819,786.02/8,381.70
  6. Step 6: Final answer
    x = 7,375.57

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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.