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Finding the Fourth Proportional to 10,612.70, 15,919.03 and 2,821.51

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Solution

The fourth proportional to 10,612.70, 15,919.03 and 2,821.51 is: 4,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.70 : 15,919.03 = 2,821.51 : x
  2. Step 2: Convert to fraction form
    10,612.70/15,919.03 = 2,821.51/x
  3. Step 3: Cross multiply
    10,612.70x = 15,919.03 × 2,821.51
  4. Step 4: Simplify right side
    10,612.70x = 44,915,702.34
  5. Step 5: Solve for x
    x = 44,915,702.34/10,612.70
  6. Step 6: Final answer
    x = 4,232.26

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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.