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Finding the Fourth Proportional to 21,832.76, 32,745.18 and 9,983.84

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Solution

The fourth proportional to 21,832.76, 32,745.18 and 9,983.84 is: 14,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.76 : 32,745.18 = 9,983.84 : x
  2. Step 2: Convert to fraction form
    21,832.76/32,745.18 = 9,983.84/x
  3. Step 3: Cross multiply
    21,832.76x = 32,745.18 × 9,983.84
  4. Step 4: Simplify right side
    21,832.76x = 326,922,637.89
  5. Step 5: Solve for x
    x = 326,922,637.89/21,832.76
  6. Step 6: Final answer
    x = 14,973.95

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1.5x scale

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.