Home / 2,161.13-2,980-1,461.29

Finding the Fourth Proportional to 2,161.13, 2,980 and 1,461.29

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Solution

The fourth proportional to 2,161.13, 2,980 and 1,461.29 is: 2,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.13 : 2,980 = 1,461.29 : x
  2. Step 2: Convert to fraction form
    2,161.13/2,980 = 1,461.29/x
  3. Step 3: Cross multiply
    2,161.13x = 2,980 × 1,461.29
  4. Step 4: Simplify right side
    2,161.13x = 4,354,644.20
  5. Step 5: Solve for x
    x = 4,354,644.20/2,161.13
  6. Step 6: Final answer
    x = 2,014.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.