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Finding the Fourth Proportional to 2,510.09, 3,765.06 and 661.31

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Solution

The fourth proportional to 2,510.09, 3,765.06 and 661.31 is: 991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.09 : 3,765.06 = 661.31 : x
  2. Step 2: Convert to fraction form
    2,510.09/3,765.06 = 661.31/x
  3. Step 3: Cross multiply
    2,510.09x = 3,765.06 × 661.31
  4. Step 4: Simplify right side
    2,510.09x = 2,489,853.00
  5. Step 5: Solve for x
    x = 2,489,853.00/2,510.09
  6. Step 6: Final answer
    x = 991.94

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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.