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Finding the Fourth Proportional to 5,410.80, 8,107.40 and 4,892.40

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Solution

The fourth proportional to 5,410.80, 8,107.40 and 4,892.40 is: 7,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.80 : 8,107.40 = 4,892.40 : x
  2. Step 2: Convert to fraction form
    5,410.80/8,107.40 = 4,892.40/x
  3. Step 3: Cross multiply
    5,410.80x = 8,107.40 × 4,892.40
  4. Step 4: Simplify right side
    5,410.80x = 39,664,643.76
  5. Step 5: Solve for x
    x = 39,664,643.76/5,410.80
  6. Step 6: Final answer
    x = 7,330.64

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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.