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Finding the Fourth Proportional to 9,781.08, 13,495.44 and 5,802

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Solution

The fourth proportional to 9,781.08, 13,495.44 and 5,802 is: 8,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.08 : 13,495.44 = 5,802 : x
  2. Step 2: Convert to fraction form
    9,781.08/13,495.44 = 5,802/x
  3. Step 3: Cross multiply
    9,781.08x = 13,495.44 × 5,802
  4. Step 4: Simplify right side
    9,781.08x = 78,300,542.88
  5. Step 5: Solve for x
    x = 78,300,542.88/9,781.08
  6. Step 6: Final answer
    x = 8,005.31

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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.