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Finding the Fourth Proportional to 12,838.26, 17,717.63 and 7,531.14

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Solution

The fourth proportional to 12,838.26, 17,717.63 and 7,531.14 is: 10,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.26 : 17,717.63 = 7,531.14 : x
  2. Step 2: Convert to fraction form
    12,838.26/17,717.63 = 7,531.14/x
  3. Step 3: Cross multiply
    12,838.26x = 17,717.63 × 7,531.14
  4. Step 4: Simplify right side
    12,838.26x = 133,433,914.34
  5. Step 5: Solve for x
    x = 133,433,914.34/12,838.26
  6. Step 6: Final answer
    x = 10,393.46

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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.