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Finding the Fourth Proportional to 4,806, 7,211.88 and 2,070

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Solution

The fourth proportional to 4,806, 7,211.88 and 2,070 is: 3,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 7,211.88 = 2,070 : x
  2. Step 2: Convert to fraction form
    4,806/7,211.88 = 2,070/x
  3. Step 3: Cross multiply
    4,806x = 7,211.88 × 2,070
  4. Step 4: Simplify right side
    4,806x = 14,928,591.60
  5. Step 5: Solve for x
    x = 14,928,591.60/4,806
  6. Step 6: Final answer
    x = 3,106.24

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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.