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Finding the Fourth Proportional to 3,509.79, 5,268.47 and 3,122.26

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Solution

The fourth proportional to 3,509.79, 5,268.47 and 3,122.26 is: 4,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.79 : 5,268.47 = 3,122.26 : x
  2. Step 2: Convert to fraction form
    3,509.79/5,268.47 = 3,122.26/x
  3. Step 3: Cross multiply
    3,509.79x = 5,268.47 × 3,122.26
  4. Step 4: Simplify right side
    3,509.79x = 16,449,533.14
  5. Step 5: Solve for x
    x = 16,449,533.14/3,509.79
  6. Step 6: Final answer
    x = 4,686.76

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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.