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Finding the Fourth Proportional to 21,497.52, 29,664 and 12,544

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Solution

The fourth proportional to 21,497.52, 29,664 and 12,544 is: 17,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.52 : 29,664 = 12,544 : x
  2. Step 2: Convert to fraction form
    21,497.52/29,664 = 12,544/x
  3. Step 3: Cross multiply
    21,497.52x = 29,664 × 12,544
  4. Step 4: Simplify right side
    21,497.52x = 372,105,216
  5. Step 5: Solve for x
    x = 372,105,216/21,497.52
  6. Step 6: Final answer
    x = 17,309.22

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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.