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Finding the Fourth Proportional to 3,492.82, 4,820.14 and 1,980.46

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Solution

The fourth proportional to 3,492.82, 4,820.14 and 1,980.46 is: 2,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.82 : 4,820.14 = 1,980.46 : x
  2. Step 2: Convert to fraction form
    3,492.82/4,820.14 = 1,980.46/x
  3. Step 3: Cross multiply
    3,492.82x = 4,820.14 × 1,980.46
  4. Step 4: Simplify right side
    3,492.82x = 9,546,094.46
  5. Step 5: Solve for x
    x = 9,546,094.46/3,492.82
  6. Step 6: Final answer
    x = 2,733.06

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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.