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Finding the Fourth Proportional to 2,673.64, 3,688.42 and 1,569

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Solution

The fourth proportional to 2,673.64, 3,688.42 and 1,569 is: 2,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.64 : 3,688.42 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,673.64/3,688.42 = 1,569/x
  3. Step 3: Cross multiply
    2,673.64x = 3,688.42 × 1,569
  4. Step 4: Simplify right side
    2,673.64x = 5,787,130.98
  5. Step 5: Solve for x
    x = 5,787,130.98/2,673.64
  6. Step 6: Final answer
    x = 2,164.51

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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.