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Finding the Fourth Proportional to 18,278.98, 27,412.92 and 9,509.11

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Solution

The fourth proportional to 18,278.98, 27,412.92 and 9,509.11 is: 14,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.98 : 27,412.92 = 9,509.11 : x
  2. Step 2: Convert to fraction form
    18,278.98/27,412.92 = 9,509.11/x
  3. Step 3: Cross multiply
    18,278.98x = 27,412.92 × 9,509.11
  4. Step 4: Simplify right side
    18,278.98x = 260,672,403.17
  5. Step 5: Solve for x
    x = 260,672,403.17/18,278.98
  6. Step 6: Final answer
    x = 14,260.78

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1.5x scale

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.