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Finding the Fourth Proportional to 10,306.78, 14,214.59 and 7,922.54

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Solution

The fourth proportional to 10,306.78, 14,214.59 and 7,922.54 is: 10,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.78 : 14,214.59 = 7,922.54 : x
  2. Step 2: Convert to fraction form
    10,306.78/14,214.59 = 7,922.54/x
  3. Step 3: Cross multiply
    10,306.78x = 14,214.59 × 7,922.54
  4. Step 4: Simplify right side
    10,306.78x = 112,615,576.88
  5. Step 5: Solve for x
    x = 112,615,576.88/10,306.78
  6. Step 6: Final answer
    x = 10,926.36

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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.