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Finding the Fourth Proportional to 7,137.86, 10,706.80 and 6,704.34

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Solution

The fourth proportional to 7,137.86, 10,706.80 and 6,704.34 is: 10,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.86 : 10,706.80 = 6,704.34 : x
  2. Step 2: Convert to fraction form
    7,137.86/10,706.80 = 6,704.34/x
  3. Step 3: Cross multiply
    7,137.86x = 10,706.80 × 6,704.34
  4. Step 4: Simplify right side
    7,137.86x = 71,782,027.51
  5. Step 5: Solve for x
    x = 71,782,027.51/7,137.86
  6. Step 6: Final answer
    x = 10,056.52

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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.