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Finding the Fourth Proportional to 21,752, 30,018 and 11,816

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Solution

The fourth proportional to 21,752, 30,018 and 11,816 is: 16,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752 : 30,018 = 11,816 : x
  2. Step 2: Convert to fraction form
    21,752/30,018 = 11,816/x
  3. Step 3: Cross multiply
    21,752x = 30,018 × 11,816
  4. Step 4: Simplify right side
    21,752x = 354,692,688
  5. Step 5: Solve for x
    x = 354,692,688/21,752
  6. Step 6: Final answer
    x = 16,306.21

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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.