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Finding the Fourth Proportional to 10,520.73, 14,518.62 and 5,805

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Solution

The fourth proportional to 10,520.73, 14,518.62 and 5,805 is: 8,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.73 : 14,518.62 = 5,805 : x
  2. Step 2: Convert to fraction form
    10,520.73/14,518.62 = 5,805/x
  3. Step 3: Cross multiply
    10,520.73x = 14,518.62 × 5,805
  4. Step 4: Simplify right side
    10,520.73x = 84,280,589.10
  5. Step 5: Solve for x
    x = 84,280,589.10/10,520.73
  6. Step 6: Final answer
    x = 8,010.91

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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.