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Finding the Fourth Proportional to 13,860, 20,778.72 and 8,010

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Solution

The fourth proportional to 13,860, 20,778.72 and 8,010 is: 12,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,778.72 = 8,010 : x
  2. Step 2: Convert to fraction form
    13,860/20,778.72 = 8,010/x
  3. Step 3: Cross multiply
    13,860x = 20,778.72 × 8,010
  4. Step 4: Simplify right side
    13,860x = 166,437,547.20
  5. Step 5: Solve for x
    x = 166,437,547.20/13,860
  6. Step 6: Final answer
    x = 12,008.48

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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.