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Finding the Fourth Proportional to 1,726.08, 2,381.92 and 980.02

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Solution

The fourth proportional to 1,726.08, 2,381.92 and 980.02 is: 1,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.08 : 2,381.92 = 980.02 : x
  2. Step 2: Convert to fraction form
    1,726.08/2,381.92 = 980.02/x
  3. Step 3: Cross multiply
    1,726.08x = 2,381.92 × 980.02
  4. Step 4: Simplify right side
    1,726.08x = 2,334,329.24
  5. Step 5: Solve for x
    x = 2,334,329.24/1,726.08
  6. Step 6: Final answer
    x = 1,352.39

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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.