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Finding the Fourth Proportional to 12,785.78, 17,638.16 and 11,014.31

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Solution

The fourth proportional to 12,785.78, 17,638.16 and 11,014.31 is: 15,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.78 : 17,638.16 = 11,014.31 : x
  2. Step 2: Convert to fraction form
    12,785.78/17,638.16 = 11,014.31/x
  3. Step 3: Cross multiply
    12,785.78x = 17,638.16 × 11,014.31
  4. Step 4: Simplify right side
    12,785.78x = 194,272,151.09
  5. Step 5: Solve for x
    x = 194,272,151.09/12,785.78
  6. Step 6: Final answer
    x = 15,194.39

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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.