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Finding the Fourth Proportional to 4,679.56, 7,019.64 and 1,904.72

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Solution

The fourth proportional to 4,679.56, 7,019.64 and 1,904.72 is: 2,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.56 : 7,019.64 = 1,904.72 : x
  2. Step 2: Convert to fraction form
    4,679.56/7,019.64 = 1,904.72/x
  3. Step 3: Cross multiply
    4,679.56x = 7,019.64 × 1,904.72
  4. Step 4: Simplify right side
    4,679.56x = 13,370,448.70
  5. Step 5: Solve for x
    x = 13,370,448.70/4,679.56
  6. Step 6: Final answer
    x = 2,857.20

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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.