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Finding the Fourth Proportional to 12,838.68, 17,713.62 and 7,533.72

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Solution

The fourth proportional to 12,838.68, 17,713.62 and 7,533.72 is: 10,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.68 : 17,713.62 = 7,533.72 : x
  2. Step 2: Convert to fraction form
    12,838.68/17,713.62 = 7,533.72/x
  3. Step 3: Cross multiply
    12,838.68x = 17,713.62 × 7,533.72
  4. Step 4: Simplify right side
    12,838.68x = 133,449,453.27
  5. Step 5: Solve for x
    x = 133,449,453.27/12,838.68
  6. Step 6: Final answer
    x = 10,394.33

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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.