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Finding the Fourth Proportional to 4,980.86, 6,874.66 and 2,856.74

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Solution

The fourth proportional to 4,980.86, 6,874.66 and 2,856.74 is: 3,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.86 : 6,874.66 = 2,856.74 : x
  2. Step 2: Convert to fraction form
    4,980.86/6,874.66 = 2,856.74/x
  3. Step 3: Cross multiply
    4,980.86x = 6,874.66 × 2,856.74
  4. Step 4: Simplify right side
    4,980.86x = 19,639,085.41
  5. Step 5: Solve for x
    x = 19,639,085.41/4,980.86
  6. Step 6: Final answer
    x = 3,942.91

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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.