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Finding the Fourth Proportional to 21,199.22, 31,798.97 and 7,344.98

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Solution

The fourth proportional to 21,199.22, 31,798.97 and 7,344.98 is: 11,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.22 : 31,798.97 = 7,344.98 : x
  2. Step 2: Convert to fraction form
    21,199.22/31,798.97 = 7,344.98/x
  3. Step 3: Cross multiply
    21,199.22x = 31,798.97 × 7,344.98
  4. Step 4: Simplify right side
    21,199.22x = 233,562,761.95
  5. Step 5: Solve for x
    x = 233,562,761.95/21,199.22
  6. Step 6: Final answer
    x = 11,017.52

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1.5x scale

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.