Home / 1,416.20-1,953.78-1,022.36

Finding the Fourth Proportional to 1,416.20, 1,953.78 and 1,022.36

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Solution

The fourth proportional to 1,416.20, 1,953.78 and 1,022.36 is: 1,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.20 : 1,953.78 = 1,022.36 : x
  2. Step 2: Convert to fraction form
    1,416.20/1,953.78 = 1,022.36/x
  3. Step 3: Cross multiply
    1,416.20x = 1,953.78 × 1,022.36
  4. Step 4: Simplify right side
    1,416.20x = 1,997,466.52
  5. Step 5: Solve for x
    x = 1,997,466.52/1,416.20
  6. Step 6: Final answer
    x = 1,410.44

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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.