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Finding the Fourth Proportional to 2,844.84, 4,270.50 and 1,693.02

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Solution

The fourth proportional to 2,844.84, 4,270.50 and 1,693.02 is: 2,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.84 : 4,270.50 = 1,693.02 : x
  2. Step 2: Convert to fraction form
    2,844.84/4,270.50 = 1,693.02/x
  3. Step 3: Cross multiply
    2,844.84x = 4,270.50 × 1,693.02
  4. Step 4: Simplify right side
    2,844.84x = 7,230,041.91
  5. Step 5: Solve for x
    x = 7,230,041.91/2,844.84
  6. Step 6: Final answer
    x = 2,541.46

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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.