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Finding the Fourth Proportional to 6,403.68, 8,833.68 and 6,222.96

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Solution

The fourth proportional to 6,403.68, 8,833.68 and 6,222.96 is: 8,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.68 : 8,833.68 = 6,222.96 : x
  2. Step 2: Convert to fraction form
    6,403.68/8,833.68 = 6,222.96/x
  3. Step 3: Cross multiply
    6,403.68x = 8,833.68 × 6,222.96
  4. Step 4: Simplify right side
    6,403.68x = 54,971,637.29
  5. Step 5: Solve for x
    x = 54,971,637.29/6,403.68
  6. Step 6: Final answer
    x = 8,584.38

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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.