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Finding the Fourth Proportional to 3,393, 4,688.16 and 2,802.48

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Solution

The fourth proportional to 3,393, 4,688.16 and 2,802.48 is: 3,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393 : 4,688.16 = 2,802.48 : x
  2. Step 2: Convert to fraction form
    3,393/4,688.16 = 2,802.48/x
  3. Step 3: Cross multiply
    3,393x = 4,688.16 × 2,802.48
  4. Step 4: Simplify right side
    3,393x = 13,138,474.64
  5. Step 5: Solve for x
    x = 13,138,474.64/3,393
  6. Step 6: Final answer
    x = 3,872.23

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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.