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Finding the Fourth Proportional to 12,477.69, 18,719.24 and 5,809.23

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Solution

The fourth proportional to 12,477.69, 18,719.24 and 5,809.23 is: 8,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.69 : 18,719.24 = 5,809.23 : x
  2. Step 2: Convert to fraction form
    12,477.69/18,719.24 = 5,809.23/x
  3. Step 3: Cross multiply
    12,477.69x = 18,719.24 × 5,809.23
  4. Step 4: Simplify right side
    12,477.69x = 108,744,341.54
  5. Step 5: Solve for x
    x = 108,744,341.54/12,477.69
  6. Step 6: Final answer
    x = 8,715.10

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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.