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Finding the Fourth Proportional to 2,617, 3,608.26 and 2,055.72

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Solution

The fourth proportional to 2,617, 3,608.26 and 2,055.72 is: 2,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617 : 3,608.26 = 2,055.72 : x
  2. Step 2: Convert to fraction form
    2,617/3,608.26 = 2,055.72/x
  3. Step 3: Cross multiply
    2,617x = 3,608.26 × 2,055.72
  4. Step 4: Simplify right side
    2,617x = 7,417,572.25
  5. Step 5: Solve for x
    x = 7,417,572.25/2,617
  6. Step 6: Final answer
    x = 2,834.38

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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.