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Finding the Fourth Proportional to 14,556, 20,088.90 and 8,967

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Solution

The fourth proportional to 14,556, 20,088.90 and 8,967 is: 12,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556 : 20,088.90 = 8,967 : x
  2. Step 2: Convert to fraction form
    14,556/20,088.90 = 8,967/x
  3. Step 3: Cross multiply
    14,556x = 20,088.90 × 8,967
  4. Step 4: Simplify right side
    14,556x = 180,137,166.30
  5. Step 5: Solve for x
    x = 180,137,166.30/14,556
  6. Step 6: Final answer
    x = 12,375.46

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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.