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Finding the Fourth Proportional to 28,580.86, 42,871.29 and 9,866.26

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Solution

The fourth proportional to 28,580.86, 42,871.29 and 9,866.26 is: 14,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.86 : 42,871.29 = 9,866.26 : x
  2. Step 2: Convert to fraction form
    28,580.86/42,871.29 = 9,866.26/x
  3. Step 3: Cross multiply
    28,580.86x = 42,871.29 × 9,866.26
  4. Step 4: Simplify right side
    28,580.86x = 422,979,293.68
  5. Step 5: Solve for x
    x = 422,979,293.68/28,580.86
  6. Step 6: Final answer
    x = 14,799.39

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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.