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Finding the Fourth Proportional to 4,112, 5,674.56 and 2,640

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Solution

The fourth proportional to 4,112, 5,674.56 and 2,640 is: 3,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 5,674.56 = 2,640 : x
  2. Step 2: Convert to fraction form
    4,112/5,674.56 = 2,640/x
  3. Step 3: Cross multiply
    4,112x = 5,674.56 × 2,640
  4. Step 4: Simplify right side
    4,112x = 14,980,838.40
  5. Step 5: Solve for x
    x = 14,980,838.40/4,112
  6. Step 6: Final answer
    x = 3,643.20

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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.