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Finding the Fourth Proportional to 16,085.60, 24,128.40 and 13,493.60

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Solution

The fourth proportional to 16,085.60, 24,128.40 and 13,493.60 is: 20,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.60 : 24,128.40 = 13,493.60 : x
  2. Step 2: Convert to fraction form
    16,085.60/24,128.40 = 13,493.60/x
  3. Step 3: Cross multiply
    16,085.60x = 24,128.40 × 13,493.60
  4. Step 4: Simplify right side
    16,085.60x = 325,578,978.24
  5. Step 5: Solve for x
    x = 325,578,978.24/16,085.60
  6. Step 6: Final answer
    x = 20,240.40

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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.