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Finding the Fourth Proportional to 21,105.90, 31,654.98 and 7,776

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Solution

The fourth proportional to 21,105.90, 31,654.98 and 7,776 is: 11,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.90 : 31,654.98 = 7,776 : x
  2. Step 2: Convert to fraction form
    21,105.90/31,654.98 = 7,776/x
  3. Step 3: Cross multiply
    21,105.90x = 31,654.98 × 7,776
  4. Step 4: Simplify right side
    21,105.90x = 246,149,124.48
  5. Step 5: Solve for x
    x = 246,149,124.48/21,105.90
  6. Step 6: Final answer
    x = 11,662.57

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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.