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Finding the Fourth Proportional to 1,984.93, 2,973.36 and 1,289.49

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Solution

The fourth proportional to 1,984.93, 2,973.36 and 1,289.49 is: 1,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.93 : 2,973.36 = 1,289.49 : x
  2. Step 2: Convert to fraction form
    1,984.93/2,973.36 = 1,289.49/x
  3. Step 3: Cross multiply
    1,984.93x = 2,973.36 × 1,289.49
  4. Step 4: Simplify right side
    1,984.93x = 3,834,117.99
  5. Step 5: Solve for x
    x = 3,834,117.99/1,984.93
  6. Step 6: Final answer
    x = 1,931.61

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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.