Home / 2,106.36-3,158.64-790.20

Finding the Fourth Proportional to 2,106.36, 3,158.64 and 790.20

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Solution

The fourth proportional to 2,106.36, 3,158.64 and 790.20 is: 1,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.36 : 3,158.64 = 790.20 : x
  2. Step 2: Convert to fraction form
    2,106.36/3,158.64 = 790.20/x
  3. Step 3: Cross multiply
    2,106.36x = 3,158.64 × 790.20
  4. Step 4: Simplify right side
    2,106.36x = 2,495,957.33
  5. Step 5: Solve for x
    x = 2,495,957.33/2,106.36
  6. Step 6: Final answer
    x = 1,184.96

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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.