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Finding the Fourth Proportional to 6,842.49, 10,269.51 and 2,685.42

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Solution

The fourth proportional to 6,842.49, 10,269.51 and 2,685.42 is: 4,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.49 : 10,269.51 = 2,685.42 : x
  2. Step 2: Convert to fraction form
    6,842.49/10,269.51 = 2,685.42/x
  3. Step 3: Cross multiply
    6,842.49x = 10,269.51 × 2,685.42
  4. Step 4: Simplify right side
    6,842.49x = 27,577,953.67
  5. Step 5: Solve for x
    x = 27,577,953.67/6,842.49
  6. Step 6: Final answer
    x = 4,030.40

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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.