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Finding the Fourth Proportional to 27,031.78, 40,549.80 and 9,505.54

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Solution

The fourth proportional to 27,031.78, 40,549.80 and 9,505.54 is: 14,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.78 : 40,549.80 = 9,505.54 : x
  2. Step 2: Convert to fraction form
    27,031.78/40,549.80 = 9,505.54/x
  3. Step 3: Cross multiply
    27,031.78x = 40,549.80 × 9,505.54
  4. Step 4: Simplify right side
    27,031.78x = 385,447,745.89
  5. Step 5: Solve for x
    x = 385,447,745.89/27,031.78
  6. Step 6: Final answer
    x = 14,259.06

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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.