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Finding the Fourth Proportional to 2,806.68, 4,211.24 and 1,506.63

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Solution

The fourth proportional to 2,806.68, 4,211.24 and 1,506.63 is: 2,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.68 : 4,211.24 = 1,506.63 : x
  2. Step 2: Convert to fraction form
    2,806.68/4,211.24 = 1,506.63/x
  3. Step 3: Cross multiply
    2,806.68x = 4,211.24 × 1,506.63
  4. Step 4: Simplify right side
    2,806.68x = 6,344,780.52
  5. Step 5: Solve for x
    x = 6,344,780.52/2,806.68
  6. Step 6: Final answer
    x = 2,260.60

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1.5x scale

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.