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Finding the Fourth Proportional to 2,685.87, 3,702.86 and 2,014.70

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Solution

The fourth proportional to 2,685.87, 3,702.86 and 2,014.70 is: 2,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.87 : 3,702.86 = 2,014.70 : x
  2. Step 2: Convert to fraction form
    2,685.87/3,702.86 = 2,014.70/x
  3. Step 3: Cross multiply
    2,685.87x = 3,702.86 × 2,014.70
  4. Step 4: Simplify right side
    2,685.87x = 7,460,123.45
  5. Step 5: Solve for x
    x = 7,460,123.45/2,685.87
  6. Step 6: Final answer
    x = 2,777.54

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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.