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Finding the Fourth Proportional to 3,254.60, 4,880.10 and 1,405.40

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Solution

The fourth proportional to 3,254.60, 4,880.10 and 1,405.40 is: 2,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.60 : 4,880.10 = 1,405.40 : x
  2. Step 2: Convert to fraction form
    3,254.60/4,880.10 = 1,405.40/x
  3. Step 3: Cross multiply
    3,254.60x = 4,880.10 × 1,405.40
  4. Step 4: Simplify right side
    3,254.60x = 6,858,492.54
  5. Step 5: Solve for x
    x = 6,858,492.54/3,254.60
  6. Step 6: Final answer
    x = 2,107.32

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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.