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Finding the Fourth Proportional to 6,228.64, 9,342.96 and 5,917.20

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Solution

The fourth proportional to 6,228.64, 9,342.96 and 5,917.20 is: 8,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.64 : 9,342.96 = 5,917.20 : x
  2. Step 2: Convert to fraction form
    6,228.64/9,342.96 = 5,917.20/x
  3. Step 3: Cross multiply
    6,228.64x = 9,342.96 × 5,917.20
  4. Step 4: Simplify right side
    6,228.64x = 55,284,162.91
  5. Step 5: Solve for x
    x = 55,284,162.91/6,228.64
  6. Step 6: Final answer
    x = 8,875.80

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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.