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Finding the Fourth Proportional to 10,200.36, 14,078.34 and 5,952

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Solution

The fourth proportional to 10,200.36, 14,078.34 and 5,952 is: 8,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.36 : 14,078.34 = 5,952 : x
  2. Step 2: Convert to fraction form
    10,200.36/14,078.34 = 5,952/x
  3. Step 3: Cross multiply
    10,200.36x = 14,078.34 × 5,952
  4. Step 4: Simplify right side
    10,200.36x = 83,794,279.68
  5. Step 5: Solve for x
    x = 83,794,279.68/10,200.36
  6. Step 6: Final answer
    x = 8,214.84

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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.