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Finding the Fourth Proportional to 3,457.65, 5,178.86 and 2,857.86

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Solution

The fourth proportional to 3,457.65, 5,178.86 and 2,857.86 is: 4,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.65 : 5,178.86 = 2,857.86 : x
  2. Step 2: Convert to fraction form
    3,457.65/5,178.86 = 2,857.86/x
  3. Step 3: Cross multiply
    3,457.65x = 5,178.86 × 2,857.86
  4. Step 4: Simplify right side
    3,457.65x = 14,800,442.55
  5. Step 5: Solve for x
    x = 14,800,442.55/3,457.65
  6. Step 6: Final answer
    x = 4,280.49

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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.