Home / 1,535.70-2,303.48-1,072.14

Finding the Fourth Proportional to 1,535.70, 2,303.48 and 1,072.14

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Solution

The fourth proportional to 1,535.70, 2,303.48 and 1,072.14 is: 1,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.70 : 2,303.48 = 1,072.14 : x
  2. Step 2: Convert to fraction form
    1,535.70/2,303.48 = 1,072.14/x
  3. Step 3: Cross multiply
    1,535.70x = 2,303.48 × 1,072.14
  4. Step 4: Simplify right side
    1,535.70x = 2,469,653.05
  5. Step 5: Solve for x
    x = 2,469,653.05/1,535.70
  6. Step 6: Final answer
    x = 1,608.16

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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.