Home / 7,830.74-11,745.69-2,565.08

Finding the Fourth Proportional to 7,830.74, 11,745.69 and 2,565.08

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Solution

The fourth proportional to 7,830.74, 11,745.69 and 2,565.08 is: 3,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.74 : 11,745.69 = 2,565.08 : x
  2. Step 2: Convert to fraction form
    7,830.74/11,745.69 = 2,565.08/x
  3. Step 3: Cross multiply
    7,830.74x = 11,745.69 × 2,565.08
  4. Step 4: Simplify right side
    7,830.74x = 30,128,610.20
  5. Step 5: Solve for x
    x = 30,128,610.20/7,830.74
  6. Step 6: Final answer
    x = 3,847.48

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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.