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Finding the Fourth Proportional to 2,650.47, 3,658.19 and 1,853.58

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Solution

The fourth proportional to 2,650.47, 3,658.19 and 1,853.58 is: 2,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.47 : 3,658.19 = 1,853.58 : x
  2. Step 2: Convert to fraction form
    2,650.47/3,658.19 = 1,853.58/x
  3. Step 3: Cross multiply
    2,650.47x = 3,658.19 × 1,853.58
  4. Step 4: Simplify right side
    2,650.47x = 6,780,720.26
  5. Step 5: Solve for x
    x = 6,780,720.26/2,650.47
  6. Step 6: Final answer
    x = 2,558.31

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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.