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Finding the Fourth Proportional to 28,538.60, 42,796.86 and 9,815.08

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Solution

The fourth proportional to 28,538.60, 42,796.86 and 9,815.08 is: 14,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.60 : 42,796.86 = 9,815.08 : x
  2. Step 2: Convert to fraction form
    28,538.60/42,796.86 = 9,815.08/x
  3. Step 3: Cross multiply
    28,538.60x = 42,796.86 × 9,815.08
  4. Step 4: Simplify right side
    28,538.60x = 420,054,604.65
  5. Step 5: Solve for x
    x = 420,054,604.65/28,538.60
  6. Step 6: Final answer
    x = 14,718.82

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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.