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Finding the Fourth Proportional to 12,755.97, 17,602.90 and 7,090.58

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Solution

The fourth proportional to 12,755.97, 17,602.90 and 7,090.58 is: 9,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.97 : 17,602.90 = 7,090.58 : x
  2. Step 2: Convert to fraction form
    12,755.97/17,602.90 = 7,090.58/x
  3. Step 3: Cross multiply
    12,755.97x = 17,602.90 × 7,090.58
  4. Step 4: Simplify right side
    12,755.97x = 124,814,796.96
  5. Step 5: Solve for x
    x = 124,814,796.96/12,755.97
  6. Step 6: Final answer
    x = 9,784.81

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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.