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Finding the Fourth Proportional to 2,380.23, 3,570.04 and 993.73

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Solution

The fourth proportional to 2,380.23, 3,570.04 and 993.73 is: 1,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.23 : 3,570.04 = 993.73 : x
  2. Step 2: Convert to fraction form
    2,380.23/3,570.04 = 993.73/x
  3. Step 3: Cross multiply
    2,380.23x = 3,570.04 × 993.73
  4. Step 4: Simplify right side
    2,380.23x = 3,547,655.85
  5. Step 5: Solve for x
    x = 3,547,655.85/2,380.23
  6. Step 6: Final answer
    x = 1,490.47

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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.