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Finding the Fourth Proportional to 2,813.86, 3,886.15 and 2,504.64

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Solution

The fourth proportional to 2,813.86, 3,886.15 and 2,504.64 is: 3,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.86 : 3,886.15 = 2,504.64 : x
  2. Step 2: Convert to fraction form
    2,813.86/3,886.15 = 2,504.64/x
  3. Step 3: Cross multiply
    2,813.86x = 3,886.15 × 2,504.64
  4. Step 4: Simplify right side
    2,813.86x = 9,733,406.74
  5. Step 5: Solve for x
    x = 9,733,406.74/2,813.86
  6. Step 6: Final answer
    x = 3,459.09

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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.