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Finding the Fourth Proportional to 2,652.57, 3,969.14 and 1,784.25

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Solution

The fourth proportional to 2,652.57, 3,969.14 and 1,784.25 is: 2,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.57 : 3,969.14 = 1,784.25 : x
  2. Step 2: Convert to fraction form
    2,652.57/3,969.14 = 1,784.25/x
  3. Step 3: Cross multiply
    2,652.57x = 3,969.14 × 1,784.25
  4. Step 4: Simplify right side
    2,652.57x = 7,081,929.12
  5. Step 5: Solve for x
    x = 7,081,929.12/2,652.57
  6. Step 6: Final answer
    x = 2,669.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.