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Finding the Fourth Proportional to 8,085.12, 11,150.08 and 5,097.60

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Solution

The fourth proportional to 8,085.12, 11,150.08 and 5,097.60 is: 7,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.12 : 11,150.08 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    8,085.12/11,150.08 = 5,097.60/x
  3. Step 3: Cross multiply
    8,085.12x = 11,150.08 × 5,097.60
  4. Step 4: Simplify right side
    8,085.12x = 56,838,647.81
  5. Step 5: Solve for x
    x = 56,838,647.81/8,085.12
  6. Step 6: Final answer
    x = 7,030.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.