Home / 2,007-2,768.52-1,420.20

Finding the Fourth Proportional to 2,007, 2,768.52 and 1,420.20

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Solution

The fourth proportional to 2,007, 2,768.52 and 1,420.20 is: 1,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 2,768.52 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    2,007/2,768.52 = 1,420.20/x
  3. Step 3: Cross multiply
    2,007x = 2,768.52 × 1,420.20
  4. Step 4: Simplify right side
    2,007x = 3,931,852.10
  5. Step 5: Solve for x
    x = 3,931,852.10/2,007
  6. Step 6: Final answer
    x = 1,959.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.