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Finding the Fourth Proportional to 25,455.25, 38,182.94 and 7,925.10

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Solution

The fourth proportional to 25,455.25, 38,182.94 and 7,925.10 is: 11,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,455.25 : 38,182.94 = 7,925.10 : x
  2. Step 2: Convert to fraction form
    25,455.25/38,182.94 = 7,925.10/x
  3. Step 3: Cross multiply
    25,455.25x = 38,182.94 × 7,925.10
  4. Step 4: Simplify right side
    25,455.25x = 302,603,617.79
  5. Step 5: Solve for x
    x = 302,603,617.79/25,455.25
  6. Step 6: Final answer
    x = 11,887.67

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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.