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Finding the Fourth Proportional to 37,800, 56,702.40 and 11,506.68

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Solution

The fourth proportional to 37,800, 56,702.40 and 11,506.68 is: 17,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800 : 56,702.40 = 11,506.68 : x
  2. Step 2: Convert to fraction form
    37,800/56,702.40 = 11,506.68/x
  3. Step 3: Cross multiply
    37,800x = 56,702.40 × 11,506.68
  4. Step 4: Simplify right side
    37,800x = 652,456,372.03
  5. Step 5: Solve for x
    x = 652,456,372.03/37,800
  6. Step 6: Final answer
    x = 17,260.75

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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.