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Finding the Fourth Proportional to 8,172.54, 12,249.08 and 4,702.50

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Solution

The fourth proportional to 8,172.54, 12,249.08 and 4,702.50 is: 7,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.54 : 12,249.08 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    8,172.54/12,249.08 = 4,702.50/x
  3. Step 3: Cross multiply
    8,172.54x = 12,249.08 × 4,702.50
  4. Step 4: Simplify right side
    8,172.54x = 57,601,298.70
  5. Step 5: Solve for x
    x = 57,601,298.70/8,172.54
  6. Step 6: Final answer
    x = 7,048.15

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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.