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Finding the Fourth Proportional to 23,720.96, 35,580.16 and 8,138.24

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Solution

The fourth proportional to 23,720.96, 35,580.16 and 8,138.24 is: 12,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.96 : 35,580.16 = 8,138.24 : x
  2. Step 2: Convert to fraction form
    23,720.96/35,580.16 = 8,138.24/x
  3. Step 3: Cross multiply
    23,720.96x = 35,580.16 × 8,138.24
  4. Step 4: Simplify right side
    23,720.96x = 289,559,881.32
  5. Step 5: Solve for x
    x = 289,559,881.32/23,720.96
  6. Step 6: Final answer
    x = 12,206.92

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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.