Home / 1,461.58-2,189.13-811.90

Finding the Fourth Proportional to 1,461.58, 2,189.13 and 811.90

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Solution

The fourth proportional to 1,461.58, 2,189.13 and 811.90 is: 1,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.58 : 2,189.13 = 811.90 : x
  2. Step 2: Convert to fraction form
    1,461.58/2,189.13 = 811.90/x
  3. Step 3: Cross multiply
    1,461.58x = 2,189.13 × 811.90
  4. Step 4: Simplify right side
    1,461.58x = 1,777,354.65
  5. Step 5: Solve for x
    x = 1,777,354.65/1,461.58
  6. Step 6: Final answer
    x = 1,216.05

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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.