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Finding the Fourth Proportional to 1,984.71, 2,740.05 and 1,199.01

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Solution

The fourth proportional to 1,984.71, 2,740.05 and 1,199.01 is: 1,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.71 : 2,740.05 = 1,199.01 : x
  2. Step 2: Convert to fraction form
    1,984.71/2,740.05 = 1,199.01/x
  3. Step 3: Cross multiply
    1,984.71x = 2,740.05 × 1,199.01
  4. Step 4: Simplify right side
    1,984.71x = 3,285,347.35
  5. Step 5: Solve for x
    x = 3,285,347.35/1,984.71
  6. Step 6: Final answer
    x = 1,655.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.