Home / 1,416.45-1,954.13-1,022.61

Finding the Fourth Proportional to 1,416.45, 1,954.13 and 1,022.61

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Solution

The fourth proportional to 1,416.45, 1,954.13 and 1,022.61 is: 1,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.45 : 1,954.13 = 1,022.61 : x
  2. Step 2: Convert to fraction form
    1,416.45/1,954.13 = 1,022.61/x
  3. Step 3: Cross multiply
    1,416.45x = 1,954.13 × 1,022.61
  4. Step 4: Simplify right side
    1,416.45x = 1,998,307.77
  5. Step 5: Solve for x
    x = 1,998,307.77/1,416.45
  6. Step 6: Final answer
    x = 1,410.79

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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.