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Finding the Fourth Proportional to 12,906.36, 17,818.08 and 9,875.80

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Solution

The fourth proportional to 12,906.36, 17,818.08 and 9,875.80 is: 13,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.36 : 17,818.08 = 9,875.80 : x
  2. Step 2: Convert to fraction form
    12,906.36/17,818.08 = 9,875.80/x
  3. Step 3: Cross multiply
    12,906.36x = 17,818.08 × 9,875.80
  4. Step 4: Simplify right side
    12,906.36x = 175,967,794.46
  5. Step 5: Solve for x
    x = 175,967,794.46/12,906.36
  6. Step 6: Final answer
    x = 13,634.19

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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.