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Finding the Fourth Proportional to 21,384.51, 32,078.06 and 8,236.88

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Solution

The fourth proportional to 21,384.51, 32,078.06 and 8,236.88 is: 12,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.51 : 32,078.06 = 8,236.88 : x
  2. Step 2: Convert to fraction form
    21,384.51/32,078.06 = 8,236.88/x
  3. Step 3: Cross multiply
    21,384.51x = 32,078.06 × 8,236.88
  4. Step 4: Simplify right side
    21,384.51x = 264,223,130.85
  5. Step 5: Solve for x
    x = 264,223,130.85/21,384.51
  6. Step 6: Final answer
    x = 12,355.82

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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.