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Finding the Fourth Proportional to 2,820.87, 4,233.87 and 1,435.17

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Solution

The fourth proportional to 2,820.87, 4,233.87 and 1,435.17 is: 2,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.87 : 4,233.87 = 1,435.17 : x
  2. Step 2: Convert to fraction form
    2,820.87/4,233.87 = 1,435.17/x
  3. Step 3: Cross multiply
    2,820.87x = 4,233.87 × 1,435.17
  4. Step 4: Simplify right side
    2,820.87x = 6,076,323.21
  5. Step 5: Solve for x
    x = 6,076,323.21/2,820.87
  6. Step 6: Final answer
    x = 2,154.06

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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.