Home / 1,954.32-2,697.12-1,157.76

Finding the Fourth Proportional to 1,954.32, 2,697.12 and 1,157.76

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Solution

The fourth proportional to 1,954.32, 2,697.12 and 1,157.76 is: 1,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.32 : 2,697.12 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    1,954.32/2,697.12 = 1,157.76/x
  3. Step 3: Cross multiply
    1,954.32x = 2,697.12 × 1,157.76
  4. Step 4: Simplify right side
    1,954.32x = 3,122,617.65
  5. Step 5: Solve for x
    x = 3,122,617.65/1,954.32
  6. Step 6: Final answer
    x = 1,597.80

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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.