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Finding the Fourth Proportional to 3,820.86, 5,742.36 and 2,530.53

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Solution

The fourth proportional to 3,820.86, 5,742.36 and 2,530.53 is: 3,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.86 : 5,742.36 = 2,530.53 : x
  2. Step 2: Convert to fraction form
    3,820.86/5,742.36 = 2,530.53/x
  3. Step 3: Cross multiply
    3,820.86x = 5,742.36 × 2,530.53
  4. Step 4: Simplify right side
    3,820.86x = 14,531,214.25
  5. Step 5: Solve for x
    x = 14,531,214.25/3,820.86
  6. Step 6: Final answer
    x = 3,803.13

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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.