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Finding the Fourth Proportional to 25,603.31, 38,404.97 and 8,074.51

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Solution

The fourth proportional to 25,603.31, 38,404.97 and 8,074.51 is: 12,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.31 : 38,404.97 = 8,074.51 : x
  2. Step 2: Convert to fraction form
    25,603.31/38,404.97 = 8,074.51/x
  3. Step 3: Cross multiply
    25,603.31x = 38,404.97 × 8,074.51
  4. Step 4: Simplify right side
    25,603.31x = 310,101,314.31
  5. Step 5: Solve for x
    x = 310,101,314.31/25,603.31
  6. Step 6: Final answer
    x = 12,111.77

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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.