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Finding the Fourth Proportional to 8,278, 12,420.60 and 4,122.16

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Solution

The fourth proportional to 8,278, 12,420.60 and 4,122.16 is: 6,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278 : 12,420.60 = 4,122.16 : x
  2. Step 2: Convert to fraction form
    8,278/12,420.60 = 4,122.16/x
  3. Step 3: Cross multiply
    8,278x = 12,420.60 × 4,122.16
  4. Step 4: Simplify right side
    8,278x = 51,199,700.50
  5. Step 5: Solve for x
    x = 51,199,700.50/8,278
  6. Step 6: Final answer
    x = 6,185.03

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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.