Home / 6,074.32-9,112.76-1,970

Finding the Fourth Proportional to 6,074.32, 9,112.76 and 1,970

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Solution

The fourth proportional to 6,074.32, 9,112.76 and 1,970 is: 2,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.32 : 9,112.76 = 1,970 : x
  2. Step 2: Convert to fraction form
    6,074.32/9,112.76 = 1,970/x
  3. Step 3: Cross multiply
    6,074.32x = 9,112.76 × 1,970
  4. Step 4: Simplify right side
    6,074.32x = 17,952,137.20
  5. Step 5: Solve for x
    x = 17,952,137.20/6,074.32
  6. Step 6: Final answer
    x = 2,955.42

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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.