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Finding the Fourth Proportional to 1,984.69, 2,972.98 and 1,693.50

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Solution

The fourth proportional to 1,984.69, 2,972.98 and 1,693.50 is: 2,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.69 : 2,972.98 = 1,693.50 : x
  2. Step 2: Convert to fraction form
    1,984.69/2,972.98 = 1,693.50/x
  3. Step 3: Cross multiply
    1,984.69x = 2,972.98 × 1,693.50
  4. Step 4: Simplify right side
    1,984.69x = 5,034,741.63
  5. Step 5: Solve for x
    x = 5,034,741.63/1,984.69
  6. Step 6: Final answer
    x = 2,536.79

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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.