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Finding the Fourth Proportional to 14,650, 20,217 and 8,362.24

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Solution

The fourth proportional to 14,650, 20,217 and 8,362.24 is: 11,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650 : 20,217 = 8,362.24 : x
  2. Step 2: Convert to fraction form
    14,650/20,217 = 8,362.24/x
  3. Step 3: Cross multiply
    14,650x = 20,217 × 8,362.24
  4. Step 4: Simplify right side
    14,650x = 169,059,406.08
  5. Step 5: Solve for x
    x = 169,059,406.08/14,650
  6. Step 6: Final answer
    x = 11,539.89

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1.5x scale

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.