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Finding the Fourth Proportional to 2,594.16, 3,891.20 and 646.38

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Solution

The fourth proportional to 2,594.16, 3,891.20 and 646.38 is: 969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.16 : 3,891.20 = 646.38 : x
  2. Step 2: Convert to fraction form
    2,594.16/3,891.20 = 646.38/x
  3. Step 3: Cross multiply
    2,594.16x = 3,891.20 × 646.38
  4. Step 4: Simplify right side
    2,594.16x = 2,515,193.86
  5. Step 5: Solve for x
    x = 2,515,193.86/2,594.16
  6. Step 6: Final answer
    x = 969.56

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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.