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Finding the Fourth Proportional to 21,642.48, 32,467.93 and 8,314.50

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Solution

The fourth proportional to 21,642.48, 32,467.93 and 8,314.50 is: 12,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.48 : 32,467.93 = 8,314.50 : x
  2. Step 2: Convert to fraction form
    21,642.48/32,467.93 = 8,314.50/x
  3. Step 3: Cross multiply
    21,642.48x = 32,467.93 × 8,314.50
  4. Step 4: Simplify right side
    21,642.48x = 269,954,603.99
  5. Step 5: Solve for x
    x = 269,954,603.99/21,642.48
  6. Step 6: Final answer
    x = 12,473.37

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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.