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Finding the Fourth Proportional to 8,378, 12,567.04 and 2,222

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Solution

The fourth proportional to 8,378, 12,567.04 and 2,222 is: 3,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 12,567.04 = 2,222 : x
  2. Step 2: Convert to fraction form
    8,378/12,567.04 = 2,222/x
  3. Step 3: Cross multiply
    8,378x = 12,567.04 × 2,222
  4. Step 4: Simplify right side
    8,378x = 27,923,962.88
  5. Step 5: Solve for x
    x = 27,923,962.88/8,378
  6. Step 6: Final answer
    x = 3,333.01

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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.