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Finding the Fourth Proportional to 21,398.94, 32,102.43 and 9,712.98

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Solution

The fourth proportional to 21,398.94, 32,102.43 and 9,712.98 is: 14,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.94 : 32,102.43 = 9,712.98 : x
  2. Step 2: Convert to fraction form
    21,398.94/32,102.43 = 9,712.98/x
  3. Step 3: Cross multiply
    21,398.94x = 32,102.43 × 9,712.98
  4. Step 4: Simplify right side
    21,398.94x = 311,810,260.54
  5. Step 5: Solve for x
    x = 311,810,260.54/21,398.94
  6. Step 6: Final answer
    x = 14,571.29

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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.