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Finding the Fourth Proportional to 13,853.97, 20,785.75 and 7,605.99

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Solution

The fourth proportional to 13,853.97, 20,785.75 and 7,605.99 is: 11,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.97 : 20,785.75 = 7,605.99 : x
  2. Step 2: Convert to fraction form
    13,853.97/20,785.75 = 7,605.99/x
  3. Step 3: Cross multiply
    13,853.97x = 20,785.75 × 7,605.99
  4. Step 4: Simplify right side
    13,853.97x = 158,096,206.64
  5. Step 5: Solve for x
    x = 158,096,206.64/13,853.97
  6. Step 6: Final answer
    x = 11,411.62

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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.