Home / 2,431.83-3,649.51-971.40

Finding the Fourth Proportional to 2,431.83, 3,649.51 and 971.40

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Solution

The fourth proportional to 2,431.83, 3,649.51 and 971.40 is: 1,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.83 : 3,649.51 = 971.40 : x
  2. Step 2: Convert to fraction form
    2,431.83/3,649.51 = 971.40/x
  3. Step 3: Cross multiply
    2,431.83x = 3,649.51 × 971.40
  4. Step 4: Simplify right side
    2,431.83x = 3,545,134.01
  5. Step 5: Solve for x
    x = 3,545,134.01/2,431.83
  6. Step 6: Final answer
    x = 1,457.81

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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.