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Finding the Fourth Proportional to 28,562.28, 42,844.56 and 7,785.72

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Solution

The fourth proportional to 28,562.28, 42,844.56 and 7,785.72 is: 11,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,562.28 : 42,844.56 = 7,785.72 : x
  2. Step 2: Convert to fraction form
    28,562.28/42,844.56 = 7,785.72/x
  3. Step 3: Cross multiply
    28,562.28x = 42,844.56 × 7,785.72
  4. Step 4: Simplify right side
    28,562.28x = 333,575,747.68
  5. Step 5: Solve for x
    x = 333,575,747.68/28,562.28
  6. Step 6: Final answer
    x = 11,678.89

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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.