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Finding the Fourth Proportional to 2,531.61, 3,794.82 and 971.19

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Solution

The fourth proportional to 2,531.61, 3,794.82 and 971.19 is: 1,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.61 : 3,794.82 = 971.19 : x
  2. Step 2: Convert to fraction form
    2,531.61/3,794.82 = 971.19/x
  3. Step 3: Cross multiply
    2,531.61x = 3,794.82 × 971.19
  4. Step 4: Simplify right side
    2,531.61x = 3,685,491.24
  5. Step 5: Solve for x
    x = 3,685,491.24/2,531.61
  6. Step 6: Final answer
    x = 1,455.79

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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.