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Finding the Fourth Proportional to 2,230.42, 3,078 and 1,235.69

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Solution

The fourth proportional to 2,230.42, 3,078 and 1,235.69 is: 1,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.42 : 3,078 = 1,235.69 : x
  2. Step 2: Convert to fraction form
    2,230.42/3,078 = 1,235.69/x
  3. Step 3: Cross multiply
    2,230.42x = 3,078 × 1,235.69
  4. Step 4: Simplify right side
    2,230.42x = 3,803,453.82
  5. Step 5: Solve for x
    x = 3,803,453.82/2,230.42
  6. Step 6: Final answer
    x = 1,705.26

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Double scale
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1.5x scale

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.