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Finding the Fourth Proportional to 2,702.58, 3,727.88 and 2,072.08

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Solution

The fourth proportional to 2,702.58, 3,727.88 and 2,072.08 is: 2,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.58 : 3,727.88 = 2,072.08 : x
  2. Step 2: Convert to fraction form
    2,702.58/3,727.88 = 2,072.08/x
  3. Step 3: Cross multiply
    2,702.58x = 3,727.88 × 2,072.08
  4. Step 4: Simplify right side
    2,702.58x = 7,724,455.23
  5. Step 5: Solve for x
    x = 7,724,455.23/2,702.58
  6. Step 6: Final answer
    x = 2,858.18

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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.