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Finding the Fourth Proportional to 21,184.50, 31,776.75 and 7,333.50

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Solution

The fourth proportional to 21,184.50, 31,776.75 and 7,333.50 is: 11,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.50 : 31,776.75 = 7,333.50 : x
  2. Step 2: Convert to fraction form
    21,184.50/31,776.75 = 7,333.50/x
  3. Step 3: Cross multiply
    21,184.50x = 31,776.75 × 7,333.50
  4. Step 4: Simplify right side
    21,184.50x = 233,034,796.13
  5. Step 5: Solve for x
    x = 233,034,796.13/21,184.50
  6. Step 6: Final answer
    x = 11,000.25

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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.