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Finding the Fourth Proportional to 6,544.42, 9,820.80 and 2,384.02

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Solution

The fourth proportional to 6,544.42, 9,820.80 and 2,384.02 is: 3,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.42 : 9,820.80 = 2,384.02 : x
  2. Step 2: Convert to fraction form
    6,544.42/9,820.80 = 2,384.02/x
  3. Step 3: Cross multiply
    6,544.42x = 9,820.80 × 2,384.02
  4. Step 4: Simplify right side
    6,544.42x = 23,412,983.62
  5. Step 5: Solve for x
    x = 23,412,983.62/6,544.42
  6. Step 6: Final answer
    x = 3,577.55

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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.