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Finding the Fourth Proportional to 18,872.98, 28,298.53 and 7,767.12

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Solution

The fourth proportional to 18,872.98, 28,298.53 and 7,767.12 is: 11,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,872.98 : 28,298.53 = 7,767.12 : x
  2. Step 2: Convert to fraction form
    18,872.98/28,298.53 = 7,767.12/x
  3. Step 3: Cross multiply
    18,872.98x = 28,298.53 × 7,767.12
  4. Step 4: Simplify right side
    18,872.98x = 219,798,194.16
  5. Step 5: Solve for x
    x = 219,798,194.16/18,872.98
  6. Step 6: Final answer
    x = 11,646.18

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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.