Home / 1,435.42-2,148.47-942.26

Finding the Fourth Proportional to 1,435.42, 2,148.47 and 942.26

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Solution

The fourth proportional to 1,435.42, 2,148.47 and 942.26 is: 1,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.42 : 2,148.47 = 942.26 : x
  2. Step 2: Convert to fraction form
    1,435.42/2,148.47 = 942.26/x
  3. Step 3: Cross multiply
    1,435.42x = 2,148.47 × 942.26
  4. Step 4: Simplify right side
    1,435.42x = 2,024,412.63
  5. Step 5: Solve for x
    x = 2,024,412.63/1,435.42
  6. Step 6: Final answer
    x = 1,410.33

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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.