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Finding the Fourth Proportional to 21,548, 32,306.16 and 8,218.64

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Solution

The fourth proportional to 21,548, 32,306.16 and 8,218.64 is: 12,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548 : 32,306.16 = 8,218.64 : x
  2. Step 2: Convert to fraction form
    21,548/32,306.16 = 8,218.64/x
  3. Step 3: Cross multiply
    21,548x = 32,306.16 × 8,218.64
  4. Step 4: Simplify right side
    21,548x = 265,512,698.82
  5. Step 5: Solve for x
    x = 265,512,698.82/21,548
  6. Step 6: Final answer
    x = 12,321.92

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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.