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Finding the Fourth Proportional to 2,431.97, 3,647.76 and 971.45

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Solution

The fourth proportional to 2,431.97, 3,647.76 and 971.45 is: 1,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.97 : 3,647.76 = 971.45 : x
  2. Step 2: Convert to fraction form
    2,431.97/3,647.76 = 971.45/x
  3. Step 3: Cross multiply
    2,431.97x = 3,647.76 × 971.45
  4. Step 4: Simplify right side
    2,431.97x = 3,543,598.21
  5. Step 5: Solve for x
    x = 3,543,598.21/2,431.97
  6. Step 6: Final answer
    x = 1,457.09

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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.