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Finding the Fourth Proportional to 2,531.64, 3,798.90 and 993.72

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Solution

The fourth proportional to 2,531.64, 3,798.90 and 993.72 is: 1,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.64 : 3,798.90 = 993.72 : x
  2. Step 2: Convert to fraction form
    2,531.64/3,798.90 = 993.72/x
  3. Step 3: Cross multiply
    2,531.64x = 3,798.90 × 993.72
  4. Step 4: Simplify right side
    2,531.64x = 3,775,042.91
  5. Step 5: Solve for x
    x = 3,775,042.91/2,531.64
  6. Step 6: Final answer
    x = 1,491.15

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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.