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Finding the Fourth Proportional to 10,090.31, 15,111.97 and 9,739.91

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Solution

The fourth proportional to 10,090.31, 15,111.97 and 9,739.91 is: 14,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.31 : 15,111.97 = 9,739.91 : x
  2. Step 2: Convert to fraction form
    10,090.31/15,111.97 = 9,739.91/x
  3. Step 3: Cross multiply
    10,090.31x = 15,111.97 × 9,739.91
  4. Step 4: Simplify right side
    10,090.31x = 147,189,241.15
  5. Step 5: Solve for x
    x = 147,189,241.15/10,090.31
  6. Step 6: Final answer
    x = 14,587.19

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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.