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Finding the Fourth Proportional to 3,877.92, 5,820.48 and 2,412.72

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Solution

The fourth proportional to 3,877.92, 5,820.48 and 2,412.72 is: 3,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.92 : 5,820.48 = 2,412.72 : x
  2. Step 2: Convert to fraction form
    3,877.92/5,820.48 = 2,412.72/x
  3. Step 3: Cross multiply
    3,877.92x = 5,820.48 × 2,412.72
  4. Step 4: Simplify right side
    3,877.92x = 14,043,188.51
  5. Step 5: Solve for x
    x = 14,043,188.51/3,877.92
  6. Step 6: Final answer
    x = 3,621.32

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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.