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Finding the Fourth Proportional to 2,431.71, 3,649.33 and 971.28

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Solution

The fourth proportional to 2,431.71, 3,649.33 and 971.28 is: 1,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.71 : 3,649.33 = 971.28 : x
  2. Step 2: Convert to fraction form
    2,431.71/3,649.33 = 971.28/x
  3. Step 3: Cross multiply
    2,431.71x = 3,649.33 × 971.28
  4. Step 4: Simplify right side
    2,431.71x = 3,544,521.24
  5. Step 5: Solve for x
    x = 3,544,521.24/2,431.71
  6. Step 6: Final answer
    x = 1,457.62

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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.