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Finding the Fourth Proportional to 21,982, 30,335.16 and 12,046

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Solution

The fourth proportional to 21,982, 30,335.16 and 12,046 is: 16,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 30,335.16 = 12,046 : x
  2. Step 2: Convert to fraction form
    21,982/30,335.16 = 12,046/x
  3. Step 3: Cross multiply
    21,982x = 30,335.16 × 12,046
  4. Step 4: Simplify right side
    21,982x = 365,417,337.36
  5. Step 5: Solve for x
    x = 365,417,337.36/21,982
  6. Step 6: Final answer
    x = 16,623.48

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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.