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Finding the Fourth Proportional to 2,153.63, 3,231.65 and 999.38

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Solution

The fourth proportional to 2,153.63, 3,231.65 and 999.38 is: 1,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.63 : 3,231.65 = 999.38 : x
  2. Step 2: Convert to fraction form
    2,153.63/3,231.65 = 999.38/x
  3. Step 3: Cross multiply
    2,153.63x = 3,231.65 × 999.38
  4. Step 4: Simplify right side
    2,153.63x = 3,229,632.72
  5. Step 5: Solve for x
    x = 3,229,632.72/2,153.63
  6. Step 6: Final answer
    x = 1,499.63

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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.