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Finding the Fourth Proportional to 9,894.78, 14,813.34 and 5,203.66

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Solution

The fourth proportional to 9,894.78, 14,813.34 and 5,203.66 is: 7,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.78 : 14,813.34 = 5,203.66 : x
  2. Step 2: Convert to fraction form
    9,894.78/14,813.34 = 5,203.66/x
  3. Step 3: Cross multiply
    9,894.78x = 14,813.34 × 5,203.66
  4. Step 4: Simplify right side
    9,894.78x = 77,083,584.82
  5. Step 5: Solve for x
    x = 77,083,584.82/9,894.78
  6. Step 6: Final answer
    x = 7,790.33

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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.