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Finding the Fourth Proportional to 21,239.50, 31,855.66 and 6,444.85

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Solution

The fourth proportional to 21,239.50, 31,855.66 and 6,444.85 is: 9,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.50 : 31,855.66 = 6,444.85 : x
  2. Step 2: Convert to fraction form
    21,239.50/31,855.66 = 6,444.85/x
  3. Step 3: Cross multiply
    21,239.50x = 31,855.66 × 6,444.85
  4. Step 4: Simplify right side
    21,239.50x = 205,304,950.35
  5. Step 5: Solve for x
    x = 205,304,950.35/21,239.50
  6. Step 6: Final answer
    x = 9,666.19

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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.