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Finding the Fourth Proportional to 55,227.80, 82,827.80 and 15,785.12

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Solution

The fourth proportional to 55,227.80, 82,827.80 and 15,785.12 is: 23,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,227.80 : 82,827.80 = 15,785.12 : x
  2. Step 2: Convert to fraction form
    55,227.80/82,827.80 = 15,785.12/x
  3. Step 3: Cross multiply
    55,227.80x = 82,827.80 × 15,785.12
  4. Step 4: Simplify right side
    55,227.80x = 1,307,446,762.34
  5. Step 5: Solve for x
    x = 1,307,446,762.34/55,227.80
  6. Step 6: Final answer
    x = 23,673.71

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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.