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Finding the Fourth Proportional to 6,851.60, 10,278.47 and 2,902.86

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Solution

The fourth proportional to 6,851.60, 10,278.47 and 2,902.86 is: 4,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.60 : 10,278.47 = 2,902.86 : x
  2. Step 2: Convert to fraction form
    6,851.60/10,278.47 = 2,902.86/x
  3. Step 3: Cross multiply
    6,851.60x = 10,278.47 × 2,902.86
  4. Step 4: Simplify right side
    6,851.60x = 29,836,944.91
  5. Step 5: Solve for x
    x = 29,836,944.91/6,851.60
  6. Step 6: Final answer
    x = 4,354.74

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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.