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Finding the Fourth Proportional to 21,537.80, 29,717.80 and 12,583.57

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Solution

The fourth proportional to 21,537.80, 29,717.80 and 12,583.57 is: 17,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.80 : 29,717.80 = 12,583.57 : x
  2. Step 2: Convert to fraction form
    21,537.80/29,717.80 = 12,583.57/x
  3. Step 3: Cross multiply
    21,537.80x = 29,717.80 × 12,583.57
  4. Step 4: Simplify right side
    21,537.80x = 373,955,805.04
  5. Step 5: Solve for x
    x = 373,955,805.04/21,537.80
  6. Step 6: Final answer
    x = 17,362.77

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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.