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Finding the Fourth Proportional to 10,404.77, 15,608.22 and 3,384.50

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Solution

The fourth proportional to 10,404.77, 15,608.22 and 3,384.50 is: 5,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.77 : 15,608.22 = 3,384.50 : x
  2. Step 2: Convert to fraction form
    10,404.77/15,608.22 = 3,384.50/x
  3. Step 3: Cross multiply
    10,404.77x = 15,608.22 × 3,384.50
  4. Step 4: Simplify right side
    10,404.77x = 52,826,020.59
  5. Step 5: Solve for x
    x = 52,826,020.59/10,404.77
  6. Step 6: Final answer
    x = 5,077.10

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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.