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Finding the Fourth Proportional to 1,643.55, 2,268.12 and 971.38

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Solution

The fourth proportional to 1,643.55, 2,268.12 and 971.38 is: 1,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.55 : 2,268.12 = 971.38 : x
  2. Step 2: Convert to fraction form
    1,643.55/2,268.12 = 971.38/x
  3. Step 3: Cross multiply
    1,643.55x = 2,268.12 × 971.38
  4. Step 4: Simplify right side
    1,643.55x = 2,203,206.41
  5. Step 5: Solve for x
    x = 2,203,206.41/1,643.55
  6. Step 6: Final answer
    x = 1,340.52

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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.