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Finding the Fourth Proportional to 6,145.52, 9,218.30 and 3,409.52

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Solution

The fourth proportional to 6,145.52, 9,218.30 and 3,409.52 is: 5,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.52 : 9,218.30 = 3,409.52 : x
  2. Step 2: Convert to fraction form
    6,145.52/9,218.30 = 3,409.52/x
  3. Step 3: Cross multiply
    6,145.52x = 9,218.30 × 3,409.52
  4. Step 4: Simplify right side
    6,145.52x = 31,429,978.22
  5. Step 5: Solve for x
    x = 31,429,978.22/6,145.52
  6. Step 6: Final answer
    x = 5,114.29

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1.5x scale

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.