Home / 1,683.52-2,321.57-1,431.16

Finding the Fourth Proportional to 1,683.52, 2,321.57 and 1,431.16

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Solution

The fourth proportional to 1,683.52, 2,321.57 and 1,431.16 is: 1,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.52 : 2,321.57 = 1,431.16 : x
  2. Step 2: Convert to fraction form
    1,683.52/2,321.57 = 1,431.16/x
  3. Step 3: Cross multiply
    1,683.52x = 2,321.57 × 1,431.16
  4. Step 4: Simplify right side
    1,683.52x = 3,322,538.12
  5. Step 5: Solve for x
    x = 3,322,538.12/1,683.52
  6. Step 6: Final answer
    x = 1,973.57

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1.5x scale

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.