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Finding the Fourth Proportional to 3,925.53, 5,410.94 and 2,978.24

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Solution

The fourth proportional to 3,925.53, 5,410.94 and 2,978.24 is: 4,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.53 : 5,410.94 = 2,978.24 : x
  2. Step 2: Convert to fraction form
    3,925.53/5,410.94 = 2,978.24/x
  3. Step 3: Cross multiply
    3,925.53x = 5,410.94 × 2,978.24
  4. Step 4: Simplify right side
    3,925.53x = 16,115,036.00
  5. Step 5: Solve for x
    x = 16,115,036.00/3,925.53
  6. Step 6: Final answer
    x = 4,105.19

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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.