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Finding the Fourth Proportional to 8,472.36, 12,702.20 and 3,534.98

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Solution

The fourth proportional to 8,472.36, 12,702.20 and 3,534.98 is: 5,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.36 : 12,702.20 = 3,534.98 : x
  2. Step 2: Convert to fraction form
    8,472.36/12,702.20 = 3,534.98/x
  3. Step 3: Cross multiply
    8,472.36x = 12,702.20 × 3,534.98
  4. Step 4: Simplify right side
    8,472.36x = 44,902,022.96
  5. Step 5: Solve for x
    x = 44,902,022.96/8,472.36
  6. Step 6: Final answer
    x = 5,299.82

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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.