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Finding the Fourth Proportional to 19,553.82, 29,332.79 and 6,407.22

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Solution

The fourth proportional to 19,553.82, 29,332.79 and 6,407.22 is: 9,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.82 : 29,332.79 = 6,407.22 : x
  2. Step 2: Convert to fraction form
    19,553.82/29,332.79 = 6,407.22/x
  3. Step 3: Cross multiply
    19,553.82x = 29,332.79 × 6,407.22
  4. Step 4: Simplify right side
    19,553.82x = 187,941,638.74
  5. Step 5: Solve for x
    x = 187,941,638.74/19,553.82
  6. Step 6: Final answer
    x = 9,611.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.