Home / 4,220.32-5,825.68-2,564

Finding the Fourth Proportional to 4,220.32, 5,825.68 and 2,564

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Solution

The fourth proportional to 4,220.32, 5,825.68 and 2,564 is: 3,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.32 : 5,825.68 = 2,564 : x
  2. Step 2: Convert to fraction form
    4,220.32/5,825.68 = 2,564/x
  3. Step 3: Cross multiply
    4,220.32x = 5,825.68 × 2,564
  4. Step 4: Simplify right side
    4,220.32x = 14,937,043.52
  5. Step 5: Solve for x
    x = 14,937,043.52/4,220.32
  6. Step 6: Final answer
    x = 3,539.32

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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.