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Finding the Fourth Proportional to 9,876.78, 13,629.99 and 5,685

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Solution

The fourth proportional to 9,876.78, 13,629.99 and 5,685 is: 7,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.78 : 13,629.99 = 5,685 : x
  2. Step 2: Convert to fraction form
    9,876.78/13,629.99 = 5,685/x
  3. Step 3: Cross multiply
    9,876.78x = 13,629.99 × 5,685
  4. Step 4: Simplify right side
    9,876.78x = 77,486,493.15
  5. Step 5: Solve for x
    x = 77,486,493.15/9,876.78
  6. Step 6: Final answer
    x = 7,845.32

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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.