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Finding the Fourth Proportional to 1,970.97, 2,719.90 and 1,074.67

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Solution

The fourth proportional to 1,970.97, 2,719.90 and 1,074.67 is: 1,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.97 : 2,719.90 = 1,074.67 : x
  2. Step 2: Convert to fraction form
    1,970.97/2,719.90 = 1,074.67/x
  3. Step 3: Cross multiply
    1,970.97x = 2,719.90 × 1,074.67
  4. Step 4: Simplify right side
    1,970.97x = 2,922,983.43
  5. Step 5: Solve for x
    x = 2,922,983.43/1,970.97
  6. Step 6: Final answer
    x = 1,483.02

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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.