Home / 1,145.24-1,714.78-942.26

Finding the Fourth Proportional to 1,145.24, 1,714.78 and 942.26

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Solution

The fourth proportional to 1,145.24, 1,714.78 and 942.26 is: 1,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.24 : 1,714.78 = 942.26 : x
  2. Step 2: Convert to fraction form
    1,145.24/1,714.78 = 942.26/x
  3. Step 3: Cross multiply
    1,145.24x = 1,714.78 × 942.26
  4. Step 4: Simplify right side
    1,145.24x = 1,615,767.64
  5. Step 5: Solve for x
    x = 1,615,767.64/1,145.24
  6. Step 6: Final answer
    x = 1,410.86

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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.