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Finding the Fourth Proportional to 2,038.56, 3,056.76 and 805.92

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Solution

The fourth proportional to 2,038.56, 3,056.76 and 805.92 is: 1,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.56 : 3,056.76 = 805.92 : x
  2. Step 2: Convert to fraction form
    2,038.56/3,056.76 = 805.92/x
  3. Step 3: Cross multiply
    2,038.56x = 3,056.76 × 805.92
  4. Step 4: Simplify right side
    2,038.56x = 2,463,504.02
  5. Step 5: Solve for x
    x = 2,463,504.02/2,038.56
  6. Step 6: Final answer
    x = 1,208.45

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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.