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Finding the Fourth Proportional to 6,282.54, 9,406.80 and 3,812.40

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Solution

The fourth proportional to 6,282.54, 9,406.80 and 3,812.40 is: 5,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.54 : 9,406.80 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    6,282.54/9,406.80 = 3,812.40/x
  3. Step 3: Cross multiply
    6,282.54x = 9,406.80 × 3,812.40
  4. Step 4: Simplify right side
    6,282.54x = 35,862,484.32
  5. Step 5: Solve for x
    x = 35,862,484.32/6,282.54
  6. Step 6: Final answer
    x = 5,708.28

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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.