Home / 1,981.29-2,976.50-1,397.64

Finding the Fourth Proportional to 1,981.29, 2,976.50 and 1,397.64

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Solution

The fourth proportional to 1,981.29, 2,976.50 and 1,397.64 is: 2,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.29 : 2,976.50 = 1,397.64 : x
  2. Step 2: Convert to fraction form
    1,981.29/2,976.50 = 1,397.64/x
  3. Step 3: Cross multiply
    1,981.29x = 2,976.50 × 1,397.64
  4. Step 4: Simplify right side
    1,981.29x = 4,160,065.51
  5. Step 5: Solve for x
    x = 4,160,065.51/1,981.29
  6. Step 6: Final answer
    x = 2,099.67

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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.