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Finding the Fourth Proportional to 2,618.83, 3,925.77 and 974.26

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Solution

The fourth proportional to 2,618.83, 3,925.77 and 974.26 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.83 : 3,925.77 = 974.26 : x
  2. Step 2: Convert to fraction form
    2,618.83/3,925.77 = 974.26/x
  3. Step 3: Cross multiply
    2,618.83x = 3,925.77 × 974.26
  4. Step 4: Simplify right side
    2,618.83x = 3,824,720.68
  5. Step 5: Solve for x
    x = 3,824,720.68/2,618.83
  6. Step 6: Final answer
    x = 1,460.47

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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.