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Finding the Fourth Proportional to 7,102.80, 10,599.46 and 6,238.94

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Solution

The fourth proportional to 7,102.80, 10,599.46 and 6,238.94 is: 9,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 10,599.46 = 6,238.94 : x
  2. Step 2: Convert to fraction form
    7,102.80/10,599.46 = 6,238.94/x
  3. Step 3: Cross multiply
    7,102.80x = 10,599.46 × 6,238.94
  4. Step 4: Simplify right side
    7,102.80x = 66,129,341.98
  5. Step 5: Solve for x
    x = 66,129,341.98/7,102.80
  6. Step 6: Final answer
    x = 9,310.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.