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Finding the Fourth Proportional to 27,127, 40,690.74 and 9,599.80

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Solution

The fourth proportional to 27,127, 40,690.74 and 9,599.80 is: 14,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127 : 40,690.74 = 9,599.80 : x
  2. Step 2: Convert to fraction form
    27,127/40,690.74 = 9,599.80/x
  3. Step 3: Cross multiply
    27,127x = 40,690.74 × 9,599.80
  4. Step 4: Simplify right side
    27,127x = 390,622,965.85
  5. Step 5: Solve for x
    x = 390,622,965.85/27,127
  6. Step 6: Final answer
    x = 14,399.78

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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.