Home / 2,102.12-3,154.80-1,007

Finding the Fourth Proportional to 2,102.12, 3,154.80 and 1,007

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Solution

The fourth proportional to 2,102.12, 3,154.80 and 1,007 is: 1,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.12 : 3,154.80 = 1,007 : x
  2. Step 2: Convert to fraction form
    2,102.12/3,154.80 = 1,007/x
  3. Step 3: Cross multiply
    2,102.12x = 3,154.80 × 1,007
  4. Step 4: Simplify right side
    2,102.12x = 3,176,883.60
  5. Step 5: Solve for x
    x = 3,176,883.60/2,102.12
  6. Step 6: Final answer
    x = 1,511.28

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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.