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Finding the Fourth Proportional to 3,980.97, 5,492.16 and 2,302.07

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Solution

The fourth proportional to 3,980.97, 5,492.16 and 2,302.07 is: 3,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.97 : 5,492.16 = 2,302.07 : x
  2. Step 2: Convert to fraction form
    3,980.97/5,492.16 = 2,302.07/x
  3. Step 3: Cross multiply
    3,980.97x = 5,492.16 × 2,302.07
  4. Step 4: Simplify right side
    3,980.97x = 12,643,309.31
  5. Step 5: Solve for x
    x = 12,643,309.31/3,980.97
  6. Step 6: Final answer
    x = 3,175.94

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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.