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Finding the Fourth Proportional to 10,815, 14,924.70 and 5,847

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Solution

The fourth proportional to 10,815, 14,924.70 and 5,847 is: 8,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 14,924.70 = 5,847 : x
  2. Step 2: Convert to fraction form
    10,815/14,924.70 = 5,847/x
  3. Step 3: Cross multiply
    10,815x = 14,924.70 × 5,847
  4. Step 4: Simplify right side
    10,815x = 87,264,720.90
  5. Step 5: Solve for x
    x = 87,264,720.90/10,815
  6. Step 6: Final answer
    x = 8,068.86

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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.