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Finding the Fourth Proportional to 8,319, 12,477.22 and 3,388.52

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Solution

The fourth proportional to 8,319, 12,477.22 and 3,388.52 is: 5,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 12,477.22 = 3,388.52 : x
  2. Step 2: Convert to fraction form
    8,319/12,477.22 = 3,388.52/x
  3. Step 3: Cross multiply
    8,319x = 12,477.22 × 3,388.52
  4. Step 4: Simplify right side
    8,319x = 42,279,309.51
  5. Step 5: Solve for x
    x = 42,279,309.51/8,319
  6. Step 6: Final answer
    x = 5,082.26

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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.