Home / 2,103.90-3,148.83-1,582.64

Finding the Fourth Proportional to 2,103.90, 3,148.83 and 1,582.64

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Solution

The fourth proportional to 2,103.90, 3,148.83 and 1,582.64 is: 2,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.90 : 3,148.83 = 1,582.64 : x
  2. Step 2: Convert to fraction form
    2,103.90/3,148.83 = 1,582.64/x
  3. Step 3: Cross multiply
    2,103.90x = 3,148.83 × 1,582.64
  4. Step 4: Simplify right side
    2,103.90x = 4,983,448.57
  5. Step 5: Solve for x
    x = 4,983,448.57/2,103.90
  6. Step 6: Final answer
    x = 2,368.67

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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.