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Finding the Fourth Proportional to 3,854.58, 5,782.59 and 1,390.74

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Solution

The fourth proportional to 3,854.58, 5,782.59 and 1,390.74 is: 2,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.58 : 5,782.59 = 1,390.74 : x
  2. Step 2: Convert to fraction form
    3,854.58/5,782.59 = 1,390.74/x
  3. Step 3: Cross multiply
    3,854.58x = 5,782.59 × 1,390.74
  4. Step 4: Simplify right side
    3,854.58x = 8,042,079.22
  5. Step 5: Solve for x
    x = 8,042,079.22/3,854.58
  6. Step 6: Final answer
    x = 2,086.37

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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.