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Finding the Fourth Proportional to 12,708.72, 19,062.72 and 4,919.28

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Solution

The fourth proportional to 12,708.72, 19,062.72 and 4,919.28 is: 7,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.72 : 19,062.72 = 4,919.28 : x
  2. Step 2: Convert to fraction form
    12,708.72/19,062.72 = 4,919.28/x
  3. Step 3: Cross multiply
    12,708.72x = 19,062.72 × 4,919.28
  4. Step 4: Simplify right side
    12,708.72x = 93,774,857.24
  5. Step 5: Solve for x
    x = 93,774,857.24/12,708.72
  6. Step 6: Final answer
    x = 7,378.78

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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.