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Finding the Fourth Proportional to 6,857.60, 10,282.80 and 2,474.40

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Solution

The fourth proportional to 6,857.60, 10,282.80 and 2,474.40 is: 3,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 10,282.80 = 2,474.40 : x
  2. Step 2: Convert to fraction form
    6,857.60/10,282.80 = 2,474.40/x
  3. Step 3: Cross multiply
    6,857.60x = 10,282.80 × 2,474.40
  4. Step 4: Simplify right side
    6,857.60x = 25,443,760.32
  5. Step 5: Solve for x
    x = 25,443,760.32/6,857.60
  6. Step 6: Final answer
    x = 3,710.30

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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.