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Finding the Fourth Proportional to 3,462.74, 4,778.61 and 1,890.74

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Solution

The fourth proportional to 3,462.74, 4,778.61 and 1,890.74 is: 2,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.74 : 4,778.61 = 1,890.74 : x
  2. Step 2: Convert to fraction form
    3,462.74/4,778.61 = 1,890.74/x
  3. Step 3: Cross multiply
    3,462.74x = 4,778.61 × 1,890.74
  4. Step 4: Simplify right side
    3,462.74x = 9,035,109.07
  5. Step 5: Solve for x
    x = 9,035,109.07/3,462.74
  6. Step 6: Final answer
    x = 2,609.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.