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Finding the Fourth Proportional to 7,929.80, 10,948.50 and 7,087.82

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Solution

The fourth proportional to 7,929.80, 10,948.50 and 7,087.82 is: 9,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.80 : 10,948.50 = 7,087.82 : x
  2. Step 2: Convert to fraction form
    7,929.80/10,948.50 = 7,087.82/x
  3. Step 3: Cross multiply
    7,929.80x = 10,948.50 × 7,087.82
  4. Step 4: Simplify right side
    7,929.80x = 77,600,997.27
  5. Step 5: Solve for x
    x = 77,600,997.27/7,929.80
  6. Step 6: Final answer
    x = 9,786.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.