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Finding the Fourth Proportional to 3,643.60, 5,465.40 and 2,914.60

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Solution

The fourth proportional to 3,643.60, 5,465.40 and 2,914.60 is: 4,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.60 : 5,465.40 = 2,914.60 : x
  2. Step 2: Convert to fraction form
    3,643.60/5,465.40 = 2,914.60/x
  3. Step 3: Cross multiply
    3,643.60x = 5,465.40 × 2,914.60
  4. Step 4: Simplify right side
    3,643.60x = 15,929,454.84
  5. Step 5: Solve for x
    x = 15,929,454.84/3,643.60
  6. Step 6: Final answer
    x = 4,371.90

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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.