Home / 2,746-3,784.44-2,537.20

Finding the Fourth Proportional to 2,746, 3,784.44 and 2,537.20

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Solution

The fourth proportional to 2,746, 3,784.44 and 2,537.20 is: 3,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 3,784.44 = 2,537.20 : x
  2. Step 2: Convert to fraction form
    2,746/3,784.44 = 2,537.20/x
  3. Step 3: Cross multiply
    2,746x = 3,784.44 × 2,537.20
  4. Step 4: Simplify right side
    2,746x = 9,601,881.17
  5. Step 5: Solve for x
    x = 9,601,881.17/2,746
  6. Step 6: Final answer
    x = 3,496.68

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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.