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Finding the Fourth Proportional to 2,293.41, 3,437.37 and 830.86

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Solution

The fourth proportional to 2,293.41, 3,437.37 and 830.86 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.41 : 3,437.37 = 830.86 : x
  2. Step 2: Convert to fraction form
    2,293.41/3,437.37 = 830.86/x
  3. Step 3: Cross multiply
    2,293.41x = 3,437.37 × 830.86
  4. Step 4: Simplify right side
    2,293.41x = 2,855,964.64
  5. Step 5: Solve for x
    x = 2,855,964.64/2,293.41
  6. Step 6: Final answer
    x = 1,245.29

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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.