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Finding the Fourth Proportional to 14,610.20, 21,909.90 and 4,749.80

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Solution

The fourth proportional to 14,610.20, 21,909.90 and 4,749.80 is: 7,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.20 : 21,909.90 = 4,749.80 : x
  2. Step 2: Convert to fraction form
    14,610.20/21,909.90 = 4,749.80/x
  3. Step 3: Cross multiply
    14,610.20x = 21,909.90 × 4,749.80
  4. Step 4: Simplify right side
    14,610.20x = 104,067,643.02
  5. Step 5: Solve for x
    x = 104,067,643.02/14,610.20
  6. Step 6: Final answer
    x = 7,122.94

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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.