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Finding the Fourth Proportional to 7,503.88, 11,280.12 and 6,962.80

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Solution

The fourth proportional to 7,503.88, 11,280.12 and 6,962.80 is: 10,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.88 : 11,280.12 = 6,962.80 : x
  2. Step 2: Convert to fraction form
    7,503.88/11,280.12 = 6,962.80/x
  3. Step 3: Cross multiply
    7,503.88x = 11,280.12 × 6,962.80
  4. Step 4: Simplify right side
    7,503.88x = 78,541,219.54
  5. Step 5: Solve for x
    x = 78,541,219.54/7,503.88
  6. Step 6: Final answer
    x = 10,466.75

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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.