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Finding the Fourth Proportional to 21,018, 31,537 and 13,118.36

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Solution

The fourth proportional to 21,018, 31,537 and 13,118.36 is: 19,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018 : 31,537 = 13,118.36 : x
  2. Step 2: Convert to fraction form
    21,018/31,537 = 13,118.36/x
  3. Step 3: Cross multiply
    21,018x = 31,537 × 13,118.36
  4. Step 4: Simplify right side
    21,018x = 413,713,719.32
  5. Step 5: Solve for x
    x = 413,713,719.32/21,018
  6. Step 6: Final answer
    x = 19,683.78

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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.