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Finding the Fourth Proportional to 12,477.65, 18,689.13 and 5,883.84

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Solution

The fourth proportional to 12,477.65, 18,689.13 and 5,883.84 is: 8,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.65 : 18,689.13 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    12,477.65/18,689.13 = 5,883.84/x
  3. Step 3: Cross multiply
    12,477.65x = 18,689.13 × 5,883.84
  4. Step 4: Simplify right side
    12,477.65x = 109,963,850.66
  5. Step 5: Solve for x
    x = 109,963,850.66/12,477.65
  6. Step 6: Final answer
    x = 8,812.87

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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.