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Finding the Fourth Proportional to 9,876, 14,782.02 and 5,189.34

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Solution

The fourth proportional to 9,876, 14,782.02 and 5,189.34 is: 7,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 14,782.02 = 5,189.34 : x
  2. Step 2: Convert to fraction form
    9,876/14,782.02 = 5,189.34/x
  3. Step 3: Cross multiply
    9,876x = 14,782.02 × 5,189.34
  4. Step 4: Simplify right side
    9,876x = 76,708,927.67
  5. Step 5: Solve for x
    x = 76,708,927.67/9,876
  6. Step 6: Final answer
    x = 7,767.21

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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.