Home / 1,416-1,949.16-1,258.36

Finding the Fourth Proportional to 1,416, 1,949.16 and 1,258.36

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Solution

The fourth proportional to 1,416, 1,949.16 and 1,258.36 is: 1,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 1,949.16 = 1,258.36 : x
  2. Step 2: Convert to fraction form
    1,416/1,949.16 = 1,258.36/x
  3. Step 3: Cross multiply
    1,416x = 1,949.16 × 1,258.36
  4. Step 4: Simplify right side
    1,416x = 2,452,744.98
  5. Step 5: Solve for x
    x = 2,452,744.98/1,416
  6. Step 6: Final answer
    x = 1,732.16

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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.