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Finding the Fourth Proportional to 8,280.36, 12,420.36 and 4,815

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Solution

The fourth proportional to 8,280.36, 12,420.36 and 4,815 is: 7,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.36 : 12,420.36 = 4,815 : x
  2. Step 2: Convert to fraction form
    8,280.36/12,420.36 = 4,815/x
  3. Step 3: Cross multiply
    8,280.36x = 12,420.36 × 4,815
  4. Step 4: Simplify right side
    8,280.36x = 59,804,033.40
  5. Step 5: Solve for x
    x = 59,804,033.40/8,280.36
  6. Step 6: Final answer
    x = 7,222.40

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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.