Home / 1,529.37-2,110.53-830.75

Finding the Fourth Proportional to 1,529.37, 2,110.53 and 830.75

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Solution

The fourth proportional to 1,529.37, 2,110.53 and 830.75 is: 1,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.37 : 2,110.53 = 830.75 : x
  2. Step 2: Convert to fraction form
    1,529.37/2,110.53 = 830.75/x
  3. Step 3: Cross multiply
    1,529.37x = 2,110.53 × 830.75
  4. Step 4: Simplify right side
    1,529.37x = 1,753,312.24
  5. Step 5: Solve for x
    x = 1,753,312.24/1,529.37
  6. Step 6: Final answer
    x = 1,146.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.