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Finding the Fourth Proportional to 28,540.84, 42,800.78 and 9,815.57

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Solution

The fourth proportional to 28,540.84, 42,800.78 and 9,815.57 is: 14,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,540.84 : 42,800.78 = 9,815.57 : x
  2. Step 2: Convert to fraction form
    28,540.84/42,800.78 = 9,815.57/x
  3. Step 3: Cross multiply
    28,540.84x = 42,800.78 × 9,815.57
  4. Step 4: Simplify right side
    28,540.84x = 420,113,789.06
  5. Step 5: Solve for x
    x = 420,113,789.06/28,540.84
  6. Step 6: Final answer
    x = 14,719.74

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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.