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Finding the Fourth Proportional to 12,370, 18,538.12 and 5,702.62

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Solution

The fourth proportional to 12,370, 18,538.12 and 5,702.62 is: 8,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370 : 18,538.12 = 5,702.62 : x
  2. Step 2: Convert to fraction form
    12,370/18,538.12 = 5,702.62/x
  3. Step 3: Cross multiply
    12,370x = 18,538.12 × 5,702.62
  4. Step 4: Simplify right side
    12,370x = 105,715,853.87
  5. Step 5: Solve for x
    x = 105,715,853.87/12,370
  6. Step 6: Final answer
    x = 8,546.15

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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.