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Finding the Fourth Proportional to 20,957.75, 31,440.74 and 6,917.21

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Solution

The fourth proportional to 20,957.75, 31,440.74 and 6,917.21 is: 10,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.75 : 31,440.74 = 6,917.21 : x
  2. Step 2: Convert to fraction form
    20,957.75/31,440.74 = 6,917.21/x
  3. Step 3: Cross multiply
    20,957.75x = 31,440.74 × 6,917.21
  4. Step 4: Simplify right side
    20,957.75x = 217,482,009.35
  5. Step 5: Solve for x
    x = 217,482,009.35/20,957.75
  6. Step 6: Final answer
    x = 10,377.17

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1.5x scale

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.