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Finding the Fourth Proportional to 21,262.98, 31,895.78 and 6,473.00

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Solution

The fourth proportional to 21,262.98, 31,895.78 and 6,473.00 is: 9,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.98 : 31,895.78 = 6,473.00 : x
  2. Step 2: Convert to fraction form
    21,262.98/31,895.78 = 6,473.00/x
  3. Step 3: Cross multiply
    21,262.98x = 31,895.78 × 6,473.00
  4. Step 4: Simplify right side
    21,262.98x = 206,461,192.10
  5. Step 5: Solve for x
    x = 206,461,192.10/21,262.98
  6. Step 6: Final answer
    x = 9,709.89

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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.