Home / 1,589.12-2,186.83-1,466

Finding the Fourth Proportional to 1,589.12, 2,186.83 and 1,466

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Solution

The fourth proportional to 1,589.12, 2,186.83 and 1,466 is: 2,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.12 : 2,186.83 = 1,466 : x
  2. Step 2: Convert to fraction form
    1,589.12/2,186.83 = 1,466/x
  3. Step 3: Cross multiply
    1,589.12x = 2,186.83 × 1,466
  4. Step 4: Simplify right side
    1,589.12x = 3,205,892.78
  5. Step 5: Solve for x
    x = 3,205,892.78/1,589.12
  6. Step 6: Final answer
    x = 2,017.40

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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.