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Finding the Fourth Proportional to 20,585.46, 30,881.06 and 6,544

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Solution

The fourth proportional to 20,585.46, 30,881.06 and 6,544 is: 9,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.46 : 30,881.06 = 6,544 : x
  2. Step 2: Convert to fraction form
    20,585.46/30,881.06 = 6,544/x
  3. Step 3: Cross multiply
    20,585.46x = 30,881.06 × 6,544
  4. Step 4: Simplify right side
    20,585.46x = 202,085,656.64
  5. Step 5: Solve for x
    x = 202,085,656.64/20,585.46
  6. Step 6: Final answer
    x = 9,816.91

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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.