Home / 2,101.84-3,151.54-1,004.70

Finding the Fourth Proportional to 2,101.84, 3,151.54 and 1,004.70

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Solution

The fourth proportional to 2,101.84, 3,151.54 and 1,004.70 is: 1,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 3,151.54 = 1,004.70 : x
  2. Step 2: Convert to fraction form
    2,101.84/3,151.54 = 1,004.70/x
  3. Step 3: Cross multiply
    2,101.84x = 3,151.54 × 1,004.70
  4. Step 4: Simplify right side
    2,101.84x = 3,166,352.24
  5. Step 5: Solve for x
    x = 3,166,352.24/2,101.84
  6. Step 6: Final answer
    x = 1,506.47

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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.