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Finding the Fourth Proportional to 7,136.90, 10,703.72 and 2,978.36

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Solution

The fourth proportional to 7,136.90, 10,703.72 and 2,978.36 is: 4,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.90 : 10,703.72 = 2,978.36 : x
  2. Step 2: Convert to fraction form
    7,136.90/10,703.72 = 2,978.36/x
  3. Step 3: Cross multiply
    7,136.90x = 10,703.72 × 2,978.36
  4. Step 4: Simplify right side
    7,136.90x = 31,879,531.50
  5. Step 5: Solve for x
    x = 31,879,531.50/7,136.90
  6. Step 6: Final answer
    x = 4,466.86

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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.