Home / 6,447-9,670.86-1,830.36

Finding the Fourth Proportional to 6,447, 9,670.86 and 1,830.36

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Solution

The fourth proportional to 6,447, 9,670.86 and 1,830.36 is: 2,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 9,670.86 = 1,830.36 : x
  2. Step 2: Convert to fraction form
    6,447/9,670.86 = 1,830.36/x
  3. Step 3: Cross multiply
    6,447x = 9,670.86 × 1,830.36
  4. Step 4: Simplify right side
    6,447x = 17,701,155.31
  5. Step 5: Solve for x
    x = 17,701,155.31/6,447
  6. Step 6: Final answer
    x = 2,745.64

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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.