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Finding the Fourth Proportional to 12,398.76, 17,110.41 and 6,809.76

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Solution

The fourth proportional to 12,398.76, 17,110.41 and 6,809.76 is: 9,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.76 : 17,110.41 = 6,809.76 : x
  2. Step 2: Convert to fraction form
    12,398.76/17,110.41 = 6,809.76/x
  3. Step 3: Cross multiply
    12,398.76x = 17,110.41 × 6,809.76
  4. Step 4: Simplify right side
    12,398.76x = 116,517,785.60
  5. Step 5: Solve for x
    x = 116,517,785.60/12,398.76
  6. Step 6: Final answer
    x = 9,397.54

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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.