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Finding the Fourth Proportional to 8,013.80, 11,059.06 and 4,477

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Solution

The fourth proportional to 8,013.80, 11,059.06 and 4,477 is: 6,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.80 : 11,059.06 = 4,477 : x
  2. Step 2: Convert to fraction form
    8,013.80/11,059.06 = 4,477/x
  3. Step 3: Cross multiply
    8,013.80x = 11,059.06 × 4,477
  4. Step 4: Simplify right side
    8,013.80x = 49,511,411.62
  5. Step 5: Solve for x
    x = 49,511,411.62/8,013.80
  6. Step 6: Final answer
    x = 6,178.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.