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Finding the Fourth Proportional to 7,814.76, 10,778.46 and 4,983

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Solution

The fourth proportional to 7,814.76, 10,778.46 and 4,983 is: 6,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.76 : 10,778.46 = 4,983 : x
  2. Step 2: Convert to fraction form
    7,814.76/10,778.46 = 4,983/x
  3. Step 3: Cross multiply
    7,814.76x = 10,778.46 × 4,983
  4. Step 4: Simplify right side
    7,814.76x = 53,709,066.18
  5. Step 5: Solve for x
    x = 53,709,066.18/7,814.76
  6. Step 6: Final answer
    x = 6,872.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.