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Finding the Fourth Proportional to 6,145.65, 9,218.48 and 4,201.65

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Solution

The fourth proportional to 6,145.65, 9,218.48 and 4,201.65 is: 6,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.65 : 9,218.48 = 4,201.65 : x
  2. Step 2: Convert to fraction form
    6,145.65/9,218.48 = 4,201.65/x
  3. Step 3: Cross multiply
    6,145.65x = 9,218.48 × 4,201.65
  4. Step 4: Simplify right side
    6,145.65x = 38,732,805.48
  5. Step 5: Solve for x
    x = 38,732,805.48/6,145.65
  6. Step 6: Final answer
    x = 6,302.48

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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.