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Finding the Fourth Proportional to 10,968, 15,136.20 and 6,000

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Solution

The fourth proportional to 10,968, 15,136.20 and 6,000 is: 8,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 15,136.20 = 6,000 : x
  2. Step 2: Convert to fraction form
    10,968/15,136.20 = 6,000/x
  3. Step 3: Cross multiply
    10,968x = 15,136.20 × 6,000
  4. Step 4: Simplify right side
    10,968x = 90,817,200
  5. Step 5: Solve for x
    x = 90,817,200/10,968
  6. Step 6: Final answer
    x = 8,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.