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Finding the Fourth Proportional to 21,642.05, 32,477.66 and 8,492.87

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Solution

The fourth proportional to 21,642.05, 32,477.66 and 8,492.87 is: 12,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.05 : 32,477.66 = 8,492.87 : x
  2. Step 2: Convert to fraction form
    21,642.05/32,477.66 = 8,492.87/x
  3. Step 3: Cross multiply
    21,642.05x = 32,477.66 × 8,492.87
  4. Step 4: Simplify right side
    21,642.05x = 275,828,614.86
  5. Step 5: Solve for x
    x = 275,828,614.86/21,642.05
  6. Step 6: Final answer
    x = 12,745.03

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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.