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Finding the Fourth Proportional to 13,665.86, 20,485.99 and 7,416.70

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Solution

The fourth proportional to 13,665.86, 20,485.99 and 7,416.70 is: 11,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.86 : 20,485.99 = 7,416.70 : x
  2. Step 2: Convert to fraction form
    13,665.86/20,485.99 = 7,416.70/x
  3. Step 3: Cross multiply
    13,665.86x = 20,485.99 × 7,416.70
  4. Step 4: Simplify right side
    13,665.86x = 151,938,442.03
  5. Step 5: Solve for x
    x = 151,938,442.03/13,665.86
  6. Step 6: Final answer
    x = 11,118.10

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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.