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Finding the Fourth Proportional to 3,993.68, 5,509.68 and 2,421.20

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Solution

The fourth proportional to 3,993.68, 5,509.68 and 2,421.20 is: 3,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.68 : 5,509.68 = 2,421.20 : x
  2. Step 2: Convert to fraction form
    3,993.68/5,509.68 = 2,421.20/x
  3. Step 3: Cross multiply
    3,993.68x = 5,509.68 × 2,421.20
  4. Step 4: Simplify right side
    3,993.68x = 13,340,037.22
  5. Step 5: Solve for x
    x = 13,340,037.22/3,993.68
  6. Step 6: Final answer
    x = 3,340.29

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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.