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Finding the Fourth Proportional to 28,367.12, 42,557 and 8,647.21

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Solution

The fourth proportional to 28,367.12, 42,557 and 8,647.21 is: 12,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,367.12 : 42,557 = 8,647.21 : x
  2. Step 2: Convert to fraction form
    28,367.12/42,557 = 8,647.21/x
  3. Step 3: Cross multiply
    28,367.12x = 42,557 × 8,647.21
  4. Step 4: Simplify right side
    28,367.12x = 367,999,315.97
  5. Step 5: Solve for x
    x = 367,999,315.97/28,367.12
  6. Step 6: Final answer
    x = 12,972.74

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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.