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Finding the Fourth Proportional to 5,114, 7,670.94 and 2,653.64

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Solution

The fourth proportional to 5,114, 7,670.94 and 2,653.64 is: 3,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,670.94 = 2,653.64 : x
  2. Step 2: Convert to fraction form
    5,114/7,670.94 = 2,653.64/x
  3. Step 3: Cross multiply
    5,114x = 7,670.94 × 2,653.64
  4. Step 4: Simplify right side
    5,114x = 20,355,913.22
  5. Step 5: Solve for x
    x = 20,355,913.22/5,114
  6. Step 6: Final answer
    x = 3,980.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.