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Finding the Fourth Proportional to 12,640.68, 17,444.19 and 6,975.59

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Solution

The fourth proportional to 12,640.68, 17,444.19 and 6,975.59 is: 9,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.68 : 17,444.19 = 6,975.59 : x
  2. Step 2: Convert to fraction form
    12,640.68/17,444.19 = 6,975.59/x
  3. Step 3: Cross multiply
    12,640.68x = 17,444.19 × 6,975.59
  4. Step 4: Simplify right side
    12,640.68x = 121,683,517.32
  5. Step 5: Solve for x
    x = 121,683,517.32/12,640.68
  6. Step 6: Final answer
    x = 9,626.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.