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Finding the Fourth Proportional to 10,552.93, 15,818 and 6,857.81

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Solution

The fourth proportional to 10,552.93, 15,818 and 6,857.81 is: 10,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.93 : 15,818 = 6,857.81 : x
  2. Step 2: Convert to fraction form
    10,552.93/15,818 = 6,857.81/x
  3. Step 3: Cross multiply
    10,552.93x = 15,818 × 6,857.81
  4. Step 4: Simplify right side
    10,552.93x = 108,476,838.58
  5. Step 5: Solve for x
    x = 108,476,838.58/10,552.93
  6. Step 6: Final answer
    x = 10,279.31

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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.