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Finding the Fourth Proportional to 7,136.78, 10,678.44 and 6,761.76

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Solution

The fourth proportional to 7,136.78, 10,678.44 and 6,761.76 is: 10,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.78 : 10,678.44 = 6,761.76 : x
  2. Step 2: Convert to fraction form
    7,136.78/10,678.44 = 6,761.76/x
  3. Step 3: Cross multiply
    7,136.78x = 10,678.44 × 6,761.76
  4. Step 4: Simplify right side
    7,136.78x = 72,205,048.45
  5. Step 5: Solve for x
    x = 72,205,048.45/7,136.78
  6. Step 6: Final answer
    x = 10,117.31

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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.