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Finding the Fourth Proportional to 2,148.30, 3,218.13 and 2,004.30

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Solution

The fourth proportional to 2,148.30, 3,218.13 and 2,004.30 is: 3,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.30 : 3,218.13 = 2,004.30 : x
  2. Step 2: Convert to fraction form
    2,148.30/3,218.13 = 2,004.30/x
  3. Step 3: Cross multiply
    2,148.30x = 3,218.13 × 2,004.30
  4. Step 4: Simplify right side
    2,148.30x = 6,450,097.96
  5. Step 5: Solve for x
    x = 6,450,097.96/2,148.30
  6. Step 6: Final answer
    x = 3,002.42

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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.