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Finding the Fourth Proportional to 3,977.64, 5,488.02 and 2,406.24

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Solution

The fourth proportional to 3,977.64, 5,488.02 and 2,406.24 is: 3,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.64 : 5,488.02 = 2,406.24 : x
  2. Step 2: Convert to fraction form
    3,977.64/5,488.02 = 2,406.24/x
  3. Step 3: Cross multiply
    3,977.64x = 5,488.02 × 2,406.24
  4. Step 4: Simplify right side
    3,977.64x = 13,205,493.24
  5. Step 5: Solve for x
    x = 13,205,493.24/3,977.64
  6. Step 6: Final answer
    x = 3,319.93

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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.