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Finding the Fourth Proportional to 2,583, 3,563.19 and 1,637.19

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Solution

The fourth proportional to 2,583, 3,563.19 and 1,637.19 is: 2,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,563.19 = 1,637.19 : x
  2. Step 2: Convert to fraction form
    2,583/3,563.19 = 1,637.19/x
  3. Step 3: Cross multiply
    2,583x = 3,563.19 × 1,637.19
  4. Step 4: Simplify right side
    2,583x = 5,833,619.04
  5. Step 5: Solve for x
    x = 5,833,619.04/2,583
  6. Step 6: Final answer
    x = 2,258.47

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1.5x scale

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.