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Finding the Fourth Proportional to 12,640.53, 17,443.75 and 6,975.13

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Solution

The fourth proportional to 12,640.53, 17,443.75 and 6,975.13 is: 9,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.53 : 17,443.75 = 6,975.13 : x
  2. Step 2: Convert to fraction form
    12,640.53/17,443.75 = 6,975.13/x
  3. Step 3: Cross multiply
    12,640.53x = 17,443.75 × 6,975.13
  4. Step 4: Simplify right side
    12,640.53x = 121,672,423.94
  5. Step 5: Solve for x
    x = 121,672,423.94/12,640.53
  6. Step 6: Final answer
    x = 9,625.58

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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.