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Finding the Fourth Proportional to 10,550, 15,814.64 and 5,872.26

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Solution

The fourth proportional to 10,550, 15,814.64 and 5,872.26 is: 8,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550 : 15,814.64 = 5,872.26 : x
  2. Step 2: Convert to fraction form
    10,550/15,814.64 = 5,872.26/x
  3. Step 3: Cross multiply
    10,550x = 15,814.64 × 5,872.26
  4. Step 4: Simplify right side
    10,550x = 92,867,677.89
  5. Step 5: Solve for x
    x = 92,867,677.89/10,550
  6. Step 6: Final answer
    x = 8,802.62

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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.