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Finding the Fourth Proportional to 15,872.84, 23,810.85 and 4,186.05

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Solution

The fourth proportional to 15,872.84, 23,810.85 and 4,186.05 is: 6,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.84 : 23,810.85 = 4,186.05 : x
  2. Step 2: Convert to fraction form
    15,872.84/23,810.85 = 4,186.05/x
  3. Step 3: Cross multiply
    15,872.84x = 23,810.85 × 4,186.05
  4. Step 4: Simplify right side
    15,872.84x = 99,673,514.37
  5. Step 5: Solve for x
    x = 99,673,514.37/15,872.84
  6. Step 6: Final answer
    x = 6,279.50

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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.