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Finding the Fourth Proportional to 3,055.26, 4,216.26 and 1,658

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Solution

The fourth proportional to 3,055.26, 4,216.26 and 1,658 is: 2,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.26 : 4,216.26 = 1,658 : x
  2. Step 2: Convert to fraction form
    3,055.26/4,216.26 = 1,658/x
  3. Step 3: Cross multiply
    3,055.26x = 4,216.26 × 1,658
  4. Step 4: Simplify right side
    3,055.26x = 6,990,559.08
  5. Step 5: Solve for x
    x = 6,990,559.08/3,055.26
  6. Step 6: Final answer
    x = 2,288.04

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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.