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Finding the Fourth Proportional to 19,697.64, 29,537.82 and 7,377

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Solution

The fourth proportional to 19,697.64, 29,537.82 and 7,377 is: 11,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.64 : 29,537.82 = 7,377 : x
  2. Step 2: Convert to fraction form
    19,697.64/29,537.82 = 7,377/x
  3. Step 3: Cross multiply
    19,697.64x = 29,537.82 × 7,377
  4. Step 4: Simplify right side
    19,697.64x = 217,900,498.14
  5. Step 5: Solve for x
    x = 217,900,498.14/19,697.64
  6. Step 6: Final answer
    x = 11,062.26

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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.