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Finding the Fourth Proportional to 25,412.72, 38,125.56 and 9,831.44

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Solution

The fourth proportional to 25,412.72, 38,125.56 and 9,831.44 is: 14,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.72 : 38,125.56 = 9,831.44 : x
  2. Step 2: Convert to fraction form
    25,412.72/38,125.56 = 9,831.44/x
  3. Step 3: Cross multiply
    25,412.72x = 38,125.56 × 9,831.44
  4. Step 4: Simplify right side
    25,412.72x = 374,829,155.61
  5. Step 5: Solve for x
    x = 374,829,155.61/25,412.72
  6. Step 6: Final answer
    x = 14,749.67

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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.