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Finding the Fourth Proportional to 1,984.53, 2,978.64 and 1,011.36

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Solution

The fourth proportional to 1,984.53, 2,978.64 and 1,011.36 is: 1,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.53 : 2,978.64 = 1,011.36 : x
  2. Step 2: Convert to fraction form
    1,984.53/2,978.64 = 1,011.36/x
  3. Step 3: Cross multiply
    1,984.53x = 2,978.64 × 1,011.36
  4. Step 4: Simplify right side
    1,984.53x = 3,012,477.35
  5. Step 5: Solve for x
    x = 3,012,477.35/1,984.53
  6. Step 6: Final answer
    x = 1,517.98

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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.