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Finding the Fourth Proportional to 28,577.21, 42,867.86 and 9,856.97

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Solution

The fourth proportional to 28,577.21, 42,867.86 and 9,856.97 is: 14,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.21 : 42,867.86 = 9,856.97 : x
  2. Step 2: Convert to fraction form
    28,577.21/42,867.86 = 9,856.97/x
  3. Step 3: Cross multiply
    28,577.21x = 42,867.86 × 9,856.97
  4. Step 4: Simplify right side
    28,577.21x = 422,547,014.27
  5. Step 5: Solve for x
    x = 422,547,014.27/28,577.21
  6. Step 6: Final answer
    x = 14,786.16

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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.