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Finding the Fourth Proportional to 8,235, 12,352.65 and 2,392.20

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Solution

The fourth proportional to 8,235, 12,352.65 and 2,392.20 is: 3,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 12,352.65 = 2,392.20 : x
  2. Step 2: Convert to fraction form
    8,235/12,352.65 = 2,392.20/x
  3. Step 3: Cross multiply
    8,235x = 12,352.65 × 2,392.20
  4. Step 4: Simplify right side
    8,235x = 29,550,009.33
  5. Step 5: Solve for x
    x = 29,550,009.33/8,235
  6. Step 6: Final answer
    x = 3,588.34

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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.