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Finding the Fourth Proportional to 4,878.53, 7,317.74 and 1,956.78

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Solution

The fourth proportional to 4,878.53, 7,317.74 and 1,956.78 is: 2,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.53 : 7,317.74 = 1,956.78 : x
  2. Step 2: Convert to fraction form
    4,878.53/7,317.74 = 1,956.78/x
  3. Step 3: Cross multiply
    4,878.53x = 7,317.74 × 1,956.78
  4. Step 4: Simplify right side
    4,878.53x = 14,319,197.49
  5. Step 5: Solve for x
    x = 14,319,197.49/4,878.53
  6. Step 6: Final answer
    x = 2,935.15

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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.