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Finding the Fourth Proportional to 7,813.14, 10,783.01 and 4,980.64

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Solution

The fourth proportional to 7,813.14, 10,783.01 and 4,980.64 is: 6,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.14 : 10,783.01 = 4,980.64 : x
  2. Step 2: Convert to fraction form
    7,813.14/10,783.01 = 4,980.64/x
  3. Step 3: Cross multiply
    7,813.14x = 10,783.01 × 4,980.64
  4. Step 4: Simplify right side
    7,813.14x = 53,706,290.93
  5. Step 5: Solve for x
    x = 53,706,290.93/7,813.14
  6. Step 6: Final answer
    x = 6,873.84

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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.