Home / 1,984.85-2,970.26-1,463.62

Finding the Fourth Proportional to 1,984.85, 2,970.26 and 1,463.62

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Solution

The fourth proportional to 1,984.85, 2,970.26 and 1,463.62 is: 2,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.85 : 2,970.26 = 1,463.62 : x
  2. Step 2: Convert to fraction form
    1,984.85/2,970.26 = 1,463.62/x
  3. Step 3: Cross multiply
    1,984.85x = 2,970.26 × 1,463.62
  4. Step 4: Simplify right side
    1,984.85x = 4,347,309.77
  5. Step 5: Solve for x
    x = 4,347,309.77/1,984.85
  6. Step 6: Final answer
    x = 2,190.25

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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.