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Finding the Fourth Proportional to 22,652.78, 31,255.80 and 13,700.09

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Solution

The fourth proportional to 22,652.78, 31,255.80 and 13,700.09 is: 18,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.78 : 31,255.80 = 13,700.09 : x
  2. Step 2: Convert to fraction form
    22,652.78/31,255.80 = 13,700.09/x
  3. Step 3: Cross multiply
    22,652.78x = 31,255.80 × 13,700.09
  4. Step 4: Simplify right side
    22,652.78x = 428,207,273.02
  5. Step 5: Solve for x
    x = 428,207,273.02/22,652.78
  6. Step 6: Final answer
    x = 18,903.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.