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Finding the Fourth Proportional to 8,232, 12,348.14 and 2,389.20

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Solution

The fourth proportional to 8,232, 12,348.14 and 2,389.20 is: 3,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,348.14 = 2,389.20 : x
  2. Step 2: Convert to fraction form
    8,232/12,348.14 = 2,389.20/x
  3. Step 3: Cross multiply
    8,232x = 12,348.14 × 2,389.20
  4. Step 4: Simplify right side
    8,232x = 29,502,164.14
  5. Step 5: Solve for x
    x = 29,502,164.14/8,232
  6. Step 6: Final answer
    x = 3,583.84

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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.