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Finding the Fourth Proportional to 2,390.66, 3,585.96 and 930.83

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Solution

The fourth proportional to 2,390.66, 3,585.96 and 930.83 is: 1,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.66 : 3,585.96 = 930.83 : x
  2. Step 2: Convert to fraction form
    2,390.66/3,585.96 = 930.83/x
  3. Step 3: Cross multiply
    2,390.66x = 3,585.96 × 930.83
  4. Step 4: Simplify right side
    2,390.66x = 3,337,919.15
  5. Step 5: Solve for x
    x = 3,337,919.15/2,390.66
  6. Step 6: Final answer
    x = 1,396.23

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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.