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Finding the Fourth Proportional to 6,277.64, 8,664.28 and 4,287.46

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Solution

The fourth proportional to 6,277.64, 8,664.28 and 4,287.46 is: 5,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.64 : 8,664.28 = 4,287.46 : x
  2. Step 2: Convert to fraction form
    6,277.64/8,664.28 = 4,287.46/x
  3. Step 3: Cross multiply
    6,277.64x = 8,664.28 × 4,287.46
  4. Step 4: Simplify right side
    6,277.64x = 37,147,753.93
  5. Step 5: Solve for x
    x = 37,147,753.93/6,277.64
  6. Step 6: Final answer
    x = 5,917.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.