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Finding the Fourth Proportional to 28,582.66, 42,863.46 and 9,857.89

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Solution

The fourth proportional to 28,582.66, 42,863.46 and 9,857.89 is: 14,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.66 : 42,863.46 = 9,857.89 : x
  2. Step 2: Convert to fraction form
    28,582.66/42,863.46 = 9,857.89/x
  3. Step 3: Cross multiply
    28,582.66x = 42,863.46 × 9,857.89
  4. Step 4: Simplify right side
    28,582.66x = 422,543,273.70
  5. Step 5: Solve for x
    x = 422,543,273.70/28,582.66
  6. Step 6: Final answer
    x = 14,783.20

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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.