Home / 1,981.10-2,971.64-594.43

Finding the Fourth Proportional to 1,981.10, 2,971.64 and 594.43

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Solution

The fourth proportional to 1,981.10, 2,971.64 and 594.43 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.10 : 2,971.64 = 594.43 : x
  2. Step 2: Convert to fraction form
    1,981.10/2,971.64 = 594.43/x
  3. Step 3: Cross multiply
    1,981.10x = 2,971.64 × 594.43
  4. Step 4: Simplify right side
    1,981.10x = 1,766,434.38
  5. Step 5: Solve for x
    x = 1,766,434.38/1,981.10
  6. Step 6: Final answer
    x = 891.64

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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.