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Finding the Fourth Proportional to 31,537, 43,521.36 and 17,390.32

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Solution

The fourth proportional to 31,537, 43,521.36 and 17,390.32 is: 23,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537 : 43,521.36 = 17,390.32 : x
  2. Step 2: Convert to fraction form
    31,537/43,521.36 = 17,390.32/x
  3. Step 3: Cross multiply
    31,537x = 43,521.36 × 17,390.32
  4. Step 4: Simplify right side
    31,537x = 756,850,377.24
  5. Step 5: Solve for x
    x = 756,850,377.24/31,537
  6. Step 6: Final answer
    x = 23,998.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.