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Finding the Fourth Proportional to 4,878.82, 7,318.53 and 1,956.74

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Solution

The fourth proportional to 4,878.82, 7,318.53 and 1,956.74 is: 2,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.82 : 7,318.53 = 1,956.74 : x
  2. Step 2: Convert to fraction form
    4,878.82/7,318.53 = 1,956.74/x
  3. Step 3: Cross multiply
    4,878.82x = 7,318.53 × 1,956.74
  4. Step 4: Simplify right side
    4,878.82x = 14,320,478.69
  5. Step 5: Solve for x
    x = 14,320,478.69/4,878.82
  6. Step 6: Final answer
    x = 2,935.24

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Why These Related Problems?

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