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Finding the Fourth Proportional to 2,857.64, 3,946.23 and 2,702.34

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Solution

The fourth proportional to 2,857.64, 3,946.23 and 2,702.34 is: 3,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.64 : 3,946.23 = 2,702.34 : x
  2. Step 2: Convert to fraction form
    2,857.64/3,946.23 = 2,702.34/x
  3. Step 3: Cross multiply
    2,857.64x = 3,946.23 × 2,702.34
  4. Step 4: Simplify right side
    2,857.64x = 10,664,055.18
  5. Step 5: Solve for x
    x = 10,664,055.18/2,857.64
  6. Step 6: Final answer
    x = 3,731.78

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1.5x scale

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.