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Finding the Fourth Proportional to 14,648.74, 20,216.50 and 8,276.50

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Solution

The fourth proportional to 14,648.74, 20,216.50 and 8,276.50 is: 11,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.74 : 20,216.50 = 8,276.50 : x
  2. Step 2: Convert to fraction form
    14,648.74/20,216.50 = 8,276.50/x
  3. Step 3: Cross multiply
    14,648.74x = 20,216.50 × 8,276.50
  4. Step 4: Simplify right side
    14,648.74x = 167,321,862.25
  5. Step 5: Solve for x
    x = 167,321,862.25/14,648.74
  6. Step 6: Final answer
    x = 11,422.27

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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.