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Finding the Fourth Proportional to 12,808.70, 17,677.37 and 7,507.97

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Solution

The fourth proportional to 12,808.70, 17,677.37 and 7,507.97 is: 10,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.70 : 17,677.37 = 7,507.97 : x
  2. Step 2: Convert to fraction form
    12,808.70/17,677.37 = 7,507.97/x
  3. Step 3: Cross multiply
    12,808.70x = 17,677.37 × 7,507.97
  4. Step 4: Simplify right side
    12,808.70x = 132,721,126.10
  5. Step 5: Solve for x
    x = 132,721,126.10/12,808.70
  6. Step 6: Final answer
    x = 10,361.80

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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.