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Finding the Fourth Proportional to 7,851.78, 10,835.69 and 4,448.54

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Solution

The fourth proportional to 7,851.78, 10,835.69 and 4,448.54 is: 6,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.78 : 10,835.69 = 4,448.54 : x
  2. Step 2: Convert to fraction form
    7,851.78/10,835.69 = 4,448.54/x
  3. Step 3: Cross multiply
    7,851.78x = 10,835.69 × 4,448.54
  4. Step 4: Simplify right side
    7,851.78x = 48,203,005.24
  5. Step 5: Solve for x
    x = 48,203,005.24/7,851.78
  6. Step 6: Final answer
    x = 6,139.12

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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.