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Finding the Fourth Proportional to 6,878.77, 10,315 and 2,197.74

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Solution

The fourth proportional to 6,878.77, 10,315 and 2,197.74 is: 3,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.77 : 10,315 = 2,197.74 : x
  2. Step 2: Convert to fraction form
    6,878.77/10,315 = 2,197.74/x
  3. Step 3: Cross multiply
    6,878.77x = 10,315 × 2,197.74
  4. Step 4: Simplify right side
    6,878.77x = 22,669,688.10
  5. Step 5: Solve for x
    x = 22,669,688.10/6,878.77
  6. Step 6: Final answer
    x = 3,295.60

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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.