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Finding the Fourth Proportional to 7,077.54, 9,767.55 and 4,245.02

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Solution

The fourth proportional to 7,077.54, 9,767.55 and 4,245.02 is: 5,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.54 : 9,767.55 = 4,245.02 : x
  2. Step 2: Convert to fraction form
    7,077.54/9,767.55 = 4,245.02/x
  3. Step 3: Cross multiply
    7,077.54x = 9,767.55 × 4,245.02
  4. Step 4: Simplify right side
    7,077.54x = 41,463,423.88
  5. Step 5: Solve for x
    x = 41,463,423.88/7,077.54
  6. Step 6: Final answer
    x = 5,858.45

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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.