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Finding the Fourth Proportional to 3,135.78, 4,703.12 and 1,285.74

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Solution

The fourth proportional to 3,135.78, 4,703.12 and 1,285.74 is: 1,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.78 : 4,703.12 = 1,285.74 : x
  2. Step 2: Convert to fraction form
    3,135.78/4,703.12 = 1,285.74/x
  3. Step 3: Cross multiply
    3,135.78x = 4,703.12 × 1,285.74
  4. Step 4: Simplify right side
    3,135.78x = 6,046,989.51
  5. Step 5: Solve for x
    x = 6,046,989.51/3,135.78
  6. Step 6: Final answer
    x = 1,928.38

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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.