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Finding the Fourth Proportional to 27,149.78, 40,723.16 and 7,426.89

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Solution

The fourth proportional to 27,149.78, 40,723.16 and 7,426.89 is: 11,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.78 : 40,723.16 = 7,426.89 : x
  2. Step 2: Convert to fraction form
    27,149.78/40,723.16 = 7,426.89/x
  3. Step 3: Cross multiply
    27,149.78x = 40,723.16 × 7,426.89
  4. Step 4: Simplify right side
    27,149.78x = 302,446,392.64
  5. Step 5: Solve for x
    x = 302,446,392.64/27,149.78
  6. Step 6: Final answer
    x = 11,139.92

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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.