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Finding the Fourth Proportional to 8,013.78, 11,059.50 and 4,477.24

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Solution

The fourth proportional to 8,013.78, 11,059.50 and 4,477.24 is: 6,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.78 : 11,059.50 = 4,477.24 : x
  2. Step 2: Convert to fraction form
    8,013.78/11,059.50 = 4,477.24/x
  3. Step 3: Cross multiply
    8,013.78x = 11,059.50 × 4,477.24
  4. Step 4: Simplify right side
    8,013.78x = 49,516,035.78
  5. Step 5: Solve for x
    x = 49,516,035.78/8,013.78
  6. Step 6: Final answer
    x = 6,178.86

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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.