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Finding the Fourth Proportional to 28,509.89, 42,769.97 and 9,785.09

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Solution

The fourth proportional to 28,509.89, 42,769.97 and 9,785.09 is: 14,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.89 : 42,769.97 = 9,785.09 : x
  2. Step 2: Convert to fraction form
    28,509.89/42,769.97 = 9,785.09/x
  3. Step 3: Cross multiply
    28,509.89x = 42,769.97 × 9,785.09
  4. Step 4: Simplify right side
    28,509.89x = 418,507,742.97
  5. Step 5: Solve for x
    x = 418,507,742.97/28,509.89
  6. Step 6: Final answer
    x = 14,679.39

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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.