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Finding the Fourth Proportional to 12,751.78, 19,092.19 and 6,498.31

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Solution

The fourth proportional to 12,751.78, 19,092.19 and 6,498.31 is: 9,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.78 : 19,092.19 = 6,498.31 : x
  2. Step 2: Convert to fraction form
    12,751.78/19,092.19 = 6,498.31/x
  3. Step 3: Cross multiply
    12,751.78x = 19,092.19 × 6,498.31
  4. Step 4: Simplify right side
    12,751.78x = 124,066,969.20
  5. Step 5: Solve for x
    x = 124,066,969.20/12,751.78
  6. Step 6: Final answer
    x = 9,729.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.