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Finding the Fourth Proportional to 1,981.03, 2,971.51 and 682.47

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Solution

The fourth proportional to 1,981.03, 2,971.51 and 682.47 is: 1,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.03 : 2,971.51 = 682.47 : x
  2. Step 2: Convert to fraction form
    1,981.03/2,971.51 = 682.47/x
  3. Step 3: Cross multiply
    1,981.03x = 2,971.51 × 682.47
  4. Step 4: Simplify right side
    1,981.03x = 2,027,966.43
  5. Step 5: Solve for x
    x = 2,027,966.43/1,981.03
  6. Step 6: Final answer
    x = 1,023.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.