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Finding the Fourth Proportional to 27,038.40, 40,525.92 and 12,230.08

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Solution

The fourth proportional to 27,038.40, 40,525.92 and 12,230.08 is: 18,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.40 : 40,525.92 = 12,230.08 : x
  2. Step 2: Convert to fraction form
    27,038.40/40,525.92 = 12,230.08/x
  3. Step 3: Cross multiply
    27,038.40x = 40,525.92 × 12,230.08
  4. Step 4: Simplify right side
    27,038.40x = 495,635,243.67
  5. Step 5: Solve for x
    x = 495,635,243.67/27,038.40
  6. Step 6: Final answer
    x = 18,330.79

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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.