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Finding the Fourth Proportional to 12,770.51, 17,613.31 and 8,739.73

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Solution

The fourth proportional to 12,770.51, 17,613.31 and 8,739.73 is: 12,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.51 : 17,613.31 = 8,739.73 : x
  2. Step 2: Convert to fraction form
    12,770.51/17,613.31 = 8,739.73/x
  3. Step 3: Cross multiply
    12,770.51x = 17,613.31 × 8,739.73
  4. Step 4: Simplify right side
    12,770.51x = 153,935,442.04
  5. Step 5: Solve for x
    x = 153,935,442.04/12,770.51
  6. Step 6: Final answer
    x = 12,053.98

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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.