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Finding the Fourth Proportional to 28,505.42, 42,759 and 9,785.20

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Solution

The fourth proportional to 28,505.42, 42,759 and 9,785.20 is: 14,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.42 : 42,759 = 9,785.20 : x
  2. Step 2: Convert to fraction form
    28,505.42/42,759 = 9,785.20/x
  3. Step 3: Cross multiply
    28,505.42x = 42,759 × 9,785.20
  4. Step 4: Simplify right side
    28,505.42x = 418,405,366.80
  5. Step 5: Solve for x
    x = 418,405,366.80/28,505.42
  6. Step 6: Final answer
    x = 14,678.10

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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.