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Finding the Fourth Proportional to 28,340, 42,511.50 and 8,617.06

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Solution

The fourth proportional to 28,340, 42,511.50 and 8,617.06 is: 12,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,340 : 42,511.50 = 8,617.06 : x
  2. Step 2: Convert to fraction form
    28,340/42,511.50 = 8,617.06/x
  3. Step 3: Cross multiply
    28,340x = 42,511.50 × 8,617.06
  4. Step 4: Simplify right side
    28,340x = 366,324,146.19
  5. Step 5: Solve for x
    x = 366,324,146.19/28,340
  6. Step 6: Final answer
    x = 12,926.05

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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.