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Finding the Fourth Proportional to 21,374.99, 32,062.13 and 8,230.21

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Solution

The fourth proportional to 21,374.99, 32,062.13 and 8,230.21 is: 12,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.99 : 32,062.13 = 8,230.21 : x
  2. Step 2: Convert to fraction form
    21,374.99/32,062.13 = 8,230.21/x
  3. Step 3: Cross multiply
    21,374.99x = 32,062.13 × 8,230.21
  4. Step 4: Simplify right side
    21,374.99x = 263,877,972.50
  5. Step 5: Solve for x
    x = 263,877,972.50/21,374.99
  6. Step 6: Final answer
    x = 12,345.17

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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.