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Finding the Fourth Proportional to 6,316.44, 8,723.52 and 4,917

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Solution

The fourth proportional to 6,316.44, 8,723.52 and 4,917 is: 6,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.44 : 8,723.52 = 4,917 : x
  2. Step 2: Convert to fraction form
    6,316.44/8,723.52 = 4,917/x
  3. Step 3: Cross multiply
    6,316.44x = 8,723.52 × 4,917
  4. Step 4: Simplify right side
    6,316.44x = 42,893,547.84
  5. Step 5: Solve for x
    x = 42,893,547.84/6,316.44
  6. Step 6: Final answer
    x = 6,790.78

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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.