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Finding the Fourth Proportional to 3,055.47, 4,216.55 and 1,658.22

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Solution

The fourth proportional to 3,055.47, 4,216.55 and 1,658.22 is: 2,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.47 : 4,216.55 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    3,055.47/4,216.55 = 1,658.22/x
  3. Step 3: Cross multiply
    3,055.47x = 4,216.55 × 1,658.22
  4. Step 4: Simplify right side
    3,055.47x = 6,991,958.12
  5. Step 5: Solve for x
    x = 6,991,958.12/3,055.47
  6. Step 6: Final answer
    x = 2,288.34

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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.