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Finding the Fourth Proportional to 5,626.56, 8,440.86 and 1,929.16

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Solution

The fourth proportional to 5,626.56, 8,440.86 and 1,929.16 is: 2,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.56 : 8,440.86 = 1,929.16 : x
  2. Step 2: Convert to fraction form
    5,626.56/8,440.86 = 1,929.16/x
  3. Step 3: Cross multiply
    5,626.56x = 8,440.86 × 1,929.16
  4. Step 4: Simplify right side
    5,626.56x = 16,283,769.48
  5. Step 5: Solve for x
    x = 16,283,769.48/5,626.56
  6. Step 6: Final answer
    x = 2,894.09

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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.