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Finding the Fourth Proportional to 21,448.32, 32,120.32 and 14,856

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Solution

The fourth proportional to 21,448.32, 32,120.32 and 14,856 is: 22,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.32 : 32,120.32 = 14,856 : x
  2. Step 2: Convert to fraction form
    21,448.32/32,120.32 = 14,856/x
  3. Step 3: Cross multiply
    21,448.32x = 32,120.32 × 14,856
  4. Step 4: Simplify right side
    21,448.32x = 477,179,473.92
  5. Step 5: Solve for x
    x = 477,179,473.92/21,448.32
  6. Step 6: Final answer
    x = 22,247.87

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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.