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Finding the Fourth Proportional to 7,760, 10,709.12 and 4,448

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Solution

The fourth proportional to 7,760, 10,709.12 and 4,448 is: 6,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 10,709.12 = 4,448 : x
  2. Step 2: Convert to fraction form
    7,760/10,709.12 = 4,448/x
  3. Step 3: Cross multiply
    7,760x = 10,709.12 × 4,448
  4. Step 4: Simplify right side
    7,760x = 47,634,165.76
  5. Step 5: Solve for x
    x = 47,634,165.76/7,760
  6. Step 6: Final answer
    x = 6,138.42

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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.