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Finding the Fourth Proportional to 14,512, 20,026.72 and 7,888

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Solution

The fourth proportional to 14,512, 20,026.72 and 7,888 is: 10,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512 : 20,026.72 = 7,888 : x
  2. Step 2: Convert to fraction form
    14,512/20,026.72 = 7,888/x
  3. Step 3: Cross multiply
    14,512x = 20,026.72 × 7,888
  4. Step 4: Simplify right side
    14,512x = 157,970,767.36
  5. Step 5: Solve for x
    x = 157,970,767.36/14,512
  6. Step 6: Final answer
    x = 10,885.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.