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Finding the Fourth Proportional to 6,560.68, 9,840.42 and 2,178.64

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Solution

The fourth proportional to 6,560.68, 9,840.42 and 2,178.64 is: 3,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.68 : 9,840.42 = 2,178.64 : x
  2. Step 2: Convert to fraction form
    6,560.68/9,840.42 = 2,178.64/x
  3. Step 3: Cross multiply
    6,560.68x = 9,840.42 × 2,178.64
  4. Step 4: Simplify right side
    6,560.68x = 21,438,732.63
  5. Step 5: Solve for x
    x = 21,438,732.63/6,560.68
  6. Step 6: Final answer
    x = 3,267.76

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