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Finding the Fourth Proportional to 6,618.48, 9,138 and 5,054.64

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Solution

The fourth proportional to 6,618.48, 9,138 and 5,054.64 is: 6,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.48 : 9,138 = 5,054.64 : x
  2. Step 2: Convert to fraction form
    6,618.48/9,138 = 5,054.64/x
  3. Step 3: Cross multiply
    6,618.48x = 9,138 × 5,054.64
  4. Step 4: Simplify right side
    6,618.48x = 46,189,300.32
  5. Step 5: Solve for x
    x = 46,189,300.32/6,618.48
  6. Step 6: Final answer
    x = 6,978.84

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Why These Related Problems?

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