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Finding the Fourth Proportional to 2,661.61, 3,992.36 and 930.19

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Solution

The fourth proportional to 2,661.61, 3,992.36 and 930.19 is: 1,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.61 : 3,992.36 = 930.19 : x
  2. Step 2: Convert to fraction form
    2,661.61/3,992.36 = 930.19/x
  3. Step 3: Cross multiply
    2,661.61x = 3,992.36 × 930.19
  4. Step 4: Simplify right side
    2,661.61x = 3,713,638.72
  5. Step 5: Solve for x
    x = 3,713,638.72/2,661.61
  6. Step 6: Final answer
    x = 1,395.26

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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.