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Finding the Fourth Proportional to 2,857.60, 4,285.86 and 1,702

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Solution

The fourth proportional to 2,857.60, 4,285.86 and 1,702 is: 2,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.60 : 4,285.86 = 1,702 : x
  2. Step 2: Convert to fraction form
    2,857.60/4,285.86 = 1,702/x
  3. Step 3: Cross multiply
    2,857.60x = 4,285.86 × 1,702
  4. Step 4: Simplify right side
    2,857.60x = 7,294,533.72
  5. Step 5: Solve for x
    x = 7,294,533.72/2,857.60
  6. Step 6: Final answer
    x = 2,552.68

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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.