Home / 1,683.64-2,319.06-1,310.59

Finding the Fourth Proportional to 1,683.64, 2,319.06 and 1,310.59

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Solution

The fourth proportional to 1,683.64, 2,319.06 and 1,310.59 is: 1,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.64 : 2,319.06 = 1,310.59 : x
  2. Step 2: Convert to fraction form
    1,683.64/2,319.06 = 1,310.59/x
  3. Step 3: Cross multiply
    1,683.64x = 2,319.06 × 1,310.59
  4. Step 4: Simplify right side
    1,683.64x = 3,039,336.85
  5. Step 5: Solve for x
    x = 3,039,336.85/1,683.64
  6. Step 6: Final answer
    x = 1,805.22

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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.