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Finding the Fourth Proportional to 8,355.77, 12,533.21 and 2,809.22

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Solution

The fourth proportional to 8,355.77, 12,533.21 and 2,809.22 is: 4,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.77 : 12,533.21 = 2,809.22 : x
  2. Step 2: Convert to fraction form
    8,355.77/12,533.21 = 2,809.22/x
  3. Step 3: Cross multiply
    8,355.77x = 12,533.21 × 2,809.22
  4. Step 4: Simplify right side
    8,355.77x = 35,208,561.48
  5. Step 5: Solve for x
    x = 35,208,561.48/8,355.77
  6. Step 6: Final answer
    x = 4,213.68

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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.