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Finding the Fourth Proportional to 2,746, 3,789.40 and 1,567.16

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Solution

The fourth proportional to 2,746, 3,789.40 and 1,567.16 is: 2,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 3,789.40 = 1,567.16 : x
  2. Step 2: Convert to fraction form
    2,746/3,789.40 = 1,567.16/x
  3. Step 3: Cross multiply
    2,746x = 3,789.40 × 1,567.16
  4. Step 4: Simplify right side
    2,746x = 5,938,596.10
  5. Step 5: Solve for x
    x = 5,938,596.10/2,746
  6. Step 6: Final answer
    x = 2,162.64

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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.