Home / 2,022.60-3,031.86-926.40

Finding the Fourth Proportional to 2,022.60, 3,031.86 and 926.40

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Solution

The fourth proportional to 2,022.60, 3,031.86 and 926.40 is: 1,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.60 : 3,031.86 = 926.40 : x
  2. Step 2: Convert to fraction form
    2,022.60/3,031.86 = 926.40/x
  3. Step 3: Cross multiply
    2,022.60x = 3,031.86 × 926.40
  4. Step 4: Simplify right side
    2,022.60x = 2,808,715.10
  5. Step 5: Solve for x
    x = 2,808,715.10/2,022.60
  6. Step 6: Final answer
    x = 1,388.67

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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.