Home / 1,984.28-2,971.76-1,573.66

Finding the Fourth Proportional to 1,984.28, 2,971.76 and 1,573.66

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Solution

The fourth proportional to 1,984.28, 2,971.76 and 1,573.66 is: 2,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.28 : 2,971.76 = 1,573.66 : x
  2. Step 2: Convert to fraction form
    1,984.28/2,971.76 = 1,573.66/x
  3. Step 3: Cross multiply
    1,984.28x = 2,971.76 × 1,573.66
  4. Step 4: Simplify right side
    1,984.28x = 4,676,539.84
  5. Step 5: Solve for x
    x = 4,676,539.84/1,984.28
  6. Step 6: Final answer
    x = 2,356.79

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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.