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Finding the Fourth Proportional to 2,377.86, 3,566.77 and 646.48

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Solution

The fourth proportional to 2,377.86, 3,566.77 and 646.48 is: 969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.86 : 3,566.77 = 646.48 : x
  2. Step 2: Convert to fraction form
    2,377.86/3,566.77 = 646.48/x
  3. Step 3: Cross multiply
    2,377.86x = 3,566.77 × 646.48
  4. Step 4: Simplify right side
    2,377.86x = 2,305,845.47
  5. Step 5: Solve for x
    x = 2,305,845.47/2,377.86
  6. Step 6: Final answer
    x = 969.71

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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.