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Finding the Fourth Proportional to 12,296.80, 18,451.20 and 5,719.60

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Solution

The fourth proportional to 12,296.80, 18,451.20 and 5,719.60 is: 8,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.80 : 18,451.20 = 5,719.60 : x
  2. Step 2: Convert to fraction form
    12,296.80/18,451.20 = 5,719.60/x
  3. Step 3: Cross multiply
    12,296.80x = 18,451.20 × 5,719.60
  4. Step 4: Simplify right side
    12,296.80x = 105,533,483.52
  5. Step 5: Solve for x
    x = 105,533,483.52/12,296.80
  6. Step 6: Final answer
    x = 8,582.19

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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.