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Finding the Fourth Proportional to 21,424.82, 32,158.01 and 10,339.31

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Solution

The fourth proportional to 21,424.82, 32,158.01 and 10,339.31 is: 15,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.82 : 32,158.01 = 10,339.31 : x
  2. Step 2: Convert to fraction form
    21,424.82/32,158.01 = 10,339.31/x
  3. Step 3: Cross multiply
    21,424.82x = 32,158.01 × 10,339.31
  4. Step 4: Simplify right side
    21,424.82x = 332,491,421.89
  5. Step 5: Solve for x
    x = 332,491,421.89/21,424.82
  6. Step 6: Final answer
    x = 15,518.99

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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.