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Finding the Fourth Proportional to 2,002.30, 2,998.05 and 1,570.30

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Solution

The fourth proportional to 2,002.30, 2,998.05 and 1,570.30 is: 2,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.30 : 2,998.05 = 1,570.30 : x
  2. Step 2: Convert to fraction form
    2,002.30/2,998.05 = 1,570.30/x
  3. Step 3: Cross multiply
    2,002.30x = 2,998.05 × 1,570.30
  4. Step 4: Simplify right side
    2,002.30x = 4,707,837.92
  5. Step 5: Solve for x
    x = 4,707,837.92/2,002.30
  6. Step 6: Final answer
    x = 2,351.22

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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.