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Finding the Fourth Proportional to 20,937.75, 31,412.07 and 6,899.91

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Solution

The fourth proportional to 20,937.75, 31,412.07 and 6,899.91 is: 10,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.75 : 31,412.07 = 6,899.91 : x
  2. Step 2: Convert to fraction form
    20,937.75/31,412.07 = 6,899.91/x
  3. Step 3: Cross multiply
    20,937.75x = 31,412.07 × 6,899.91
  4. Step 4: Simplify right side
    20,937.75x = 216,740,455.91
  5. Step 5: Solve for x
    x = 216,740,455.91/20,937.75
  6. Step 6: Final answer
    x = 10,351.66

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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.