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Finding the Fourth Proportional to 21,184, 31,776 and 7,333

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Solution

The fourth proportional to 21,184, 31,776 and 7,333 is: 10,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184 : 31,776 = 7,333 : x
  2. Step 2: Convert to fraction form
    21,184/31,776 = 7,333/x
  3. Step 3: Cross multiply
    21,184x = 31,776 × 7,333
  4. Step 4: Simplify right side
    21,184x = 233,013,408
  5. Step 5: Solve for x
    x = 233,013,408/21,184
  6. Step 6: Final answer
    x = 10,999.50

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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.