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Finding the Fourth Proportional to 2,812.86, 3,884.77 and 2,503.64

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Solution

The fourth proportional to 2,812.86, 3,884.77 and 2,503.64 is: 3,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.86 : 3,884.77 = 2,503.64 : x
  2. Step 2: Convert to fraction form
    2,812.86/3,884.77 = 2,503.64/x
  3. Step 3: Cross multiply
    2,812.86x = 3,884.77 × 2,503.64
  4. Step 4: Simplify right side
    2,812.86x = 9,726,078.40
  5. Step 5: Solve for x
    x = 9,726,078.40/2,812.86
  6. Step 6: Final answer
    x = 3,457.72

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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.