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Finding the Fourth Proportional to 7,006.56, 10,506.88 and 3,843.20

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Solution

The fourth proportional to 7,006.56, 10,506.88 and 3,843.20 is: 5,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.56 : 10,506.88 = 3,843.20 : x
  2. Step 2: Convert to fraction form
    7,006.56/10,506.88 = 3,843.20/x
  3. Step 3: Cross multiply
    7,006.56x = 10,506.88 × 3,843.20
  4. Step 4: Simplify right side
    7,006.56x = 40,380,041.22
  5. Step 5: Solve for x
    x = 40,380,041.22/7,006.56
  6. Step 6: Final answer
    x = 5,763.18

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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.