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Finding the Fourth Proportional to 3,802.64, 5,699.30 and 2,160.56

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Solution

The fourth proportional to 3,802.64, 5,699.30 and 2,160.56 is: 3,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.64 : 5,699.30 = 2,160.56 : x
  2. Step 2: Convert to fraction form
    3,802.64/5,699.30 = 2,160.56/x
  3. Step 3: Cross multiply
    3,802.64x = 5,699.30 × 2,160.56
  4. Step 4: Simplify right side
    3,802.64x = 12,313,683.05
  5. Step 5: Solve for x
    x = 12,313,683.05/3,802.64
  6. Step 6: Final answer
    x = 3,238.20

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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.