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Finding the Fourth Proportional to 21,300.52, 31,953 and 8,164

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Solution

The fourth proportional to 21,300.52, 31,953 and 8,164 is: 12,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300.52 : 31,953 = 8,164 : x
  2. Step 2: Convert to fraction form
    21,300.52/31,953 = 8,164/x
  3. Step 3: Cross multiply
    21,300.52x = 31,953 × 8,164
  4. Step 4: Simplify right side
    21,300.52x = 260,864,292
  5. Step 5: Solve for x
    x = 260,864,292/21,300.52
  6. Step 6: Final answer
    x = 12,246.85

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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.