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Finding the Fourth Proportional to 1,726.41, 2,382.08 and 980.31

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Solution

The fourth proportional to 1,726.41, 2,382.08 and 980.31 is: 1,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.41 : 2,382.08 = 980.31 : x
  2. Step 2: Convert to fraction form
    1,726.41/2,382.08 = 980.31/x
  3. Step 3: Cross multiply
    1,726.41x = 2,382.08 × 980.31
  4. Step 4: Simplify right side
    1,726.41x = 2,335,171.94
  5. Step 5: Solve for x
    x = 2,335,171.94/1,726.41
  6. Step 6: Final answer
    x = 1,352.62

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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.