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Finding the Fourth Proportional to 12,522.35, 18,776.51 and 8,578.07

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Solution

The fourth proportional to 12,522.35, 18,776.51 and 8,578.07 is: 12,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.35 : 18,776.51 = 8,578.07 : x
  2. Step 2: Convert to fraction form
    12,522.35/18,776.51 = 8,578.07/x
  3. Step 3: Cross multiply
    12,522.35x = 18,776.51 × 8,578.07
  4. Step 4: Simplify right side
    12,522.35x = 161,066,080.36
  5. Step 5: Solve for x
    x = 161,066,080.36/12,522.35
  6. Step 6: Final answer
    x = 12,862.29

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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.