Home / 2,433.18-3,649.68-971.31

Finding the Fourth Proportional to 2,433.18, 3,649.68 and 971.31

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Solution

The fourth proportional to 2,433.18, 3,649.68 and 971.31 is: 1,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.18 : 3,649.68 = 971.31 : x
  2. Step 2: Convert to fraction form
    2,433.18/3,649.68 = 971.31/x
  3. Step 3: Cross multiply
    2,433.18x = 3,649.68 × 971.31
  4. Step 4: Simplify right side
    2,433.18x = 3,544,970.68
  5. Step 5: Solve for x
    x = 3,544,970.68/2,433.18
  6. Step 6: Final answer
    x = 1,456.93

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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.