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Finding the Fourth Proportional to 2,531.45, 3,797.48 and 971.39

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Solution

The fourth proportional to 2,531.45, 3,797.48 and 971.39 is: 1,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.45 : 3,797.48 = 971.39 : x
  2. Step 2: Convert to fraction form
    2,531.45/3,797.48 = 971.39/x
  3. Step 3: Cross multiply
    2,531.45x = 3,797.48 × 971.39
  4. Step 4: Simplify right side
    2,531.45x = 3,688,846.02
  5. Step 5: Solve for x
    x = 3,688,846.02/2,531.45
  6. Step 6: Final answer
    x = 1,457.21

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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.