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Finding the Fourth Proportional to 25,830.23, 38,745.34 and 8,312.36

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Solution

The fourth proportional to 25,830.23, 38,745.34 and 8,312.36 is: 12,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.23 : 38,745.34 = 8,312.36 : x
  2. Step 2: Convert to fraction form
    25,830.23/38,745.34 = 8,312.36/x
  3. Step 3: Cross multiply
    25,830.23x = 38,745.34 × 8,312.36
  4. Step 4: Simplify right side
    25,830.23x = 322,065,138.32
  5. Step 5: Solve for x
    x = 322,065,138.32/25,830.23
  6. Step 6: Final answer
    x = 12,468.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.