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Finding the Fourth Proportional to 2,486.70, 3,725.55 and 1,970.10

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Solution

The fourth proportional to 2,486.70, 3,725.55 and 1,970.10 is: 2,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.70 : 3,725.55 = 1,970.10 : x
  2. Step 2: Convert to fraction form
    2,486.70/3,725.55 = 1,970.10/x
  3. Step 3: Cross multiply
    2,486.70x = 3,725.55 × 1,970.10
  4. Step 4: Simplify right side
    2,486.70x = 7,339,706.06
  5. Step 5: Solve for x
    x = 7,339,706.06/2,486.70
  6. Step 6: Final answer
    x = 2,951.58

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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.