Home / 1,536.87-2,121.21-977.23

Finding the Fourth Proportional to 1,536.87, 2,121.21 and 977.23

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Solution

The fourth proportional to 1,536.87, 2,121.21 and 977.23 is: 1,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.87 : 2,121.21 = 977.23 : x
  2. Step 2: Convert to fraction form
    1,536.87/2,121.21 = 977.23/x
  3. Step 3: Cross multiply
    1,536.87x = 2,121.21 × 977.23
  4. Step 4: Simplify right side
    1,536.87x = 2,072,906.50
  5. Step 5: Solve for x
    x = 2,072,906.50/1,536.87
  6. Step 6: Final answer
    x = 1,348.79

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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.