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Finding the Fourth Proportional to 8,376, 12,564.86 and 2,220

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Solution

The fourth proportional to 8,376, 12,564.86 and 2,220 is: 3,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 12,564.86 = 2,220 : x
  2. Step 2: Convert to fraction form
    8,376/12,564.86 = 2,220/x
  3. Step 3: Cross multiply
    8,376x = 12,564.86 × 2,220
  4. Step 4: Simplify right side
    8,376x = 27,893,989.20
  5. Step 5: Solve for x
    x = 27,893,989.20/8,376
  6. Step 6: Final answer
    x = 3,330.23

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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.