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Finding the Fourth Proportional to 6,978, 10,466.64 and 2,047.08

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Solution

The fourth proportional to 6,978, 10,466.64 and 2,047.08 is: 3,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 10,466.64 = 2,047.08 : x
  2. Step 2: Convert to fraction form
    6,978/10,466.64 = 2,047.08/x
  3. Step 3: Cross multiply
    6,978x = 10,466.64 × 2,047.08
  4. Step 4: Simplify right side
    6,978x = 21,426,049.41
  5. Step 5: Solve for x
    x = 21,426,049.41/6,978
  6. Step 6: Final answer
    x = 3,070.51

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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.