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Finding the Fourth Proportional to 12,917.12, 19,357.16 and 7,358.96

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Solution

The fourth proportional to 12,917.12, 19,357.16 and 7,358.96 is: 11,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.12 : 19,357.16 = 7,358.96 : x
  2. Step 2: Convert to fraction form
    12,917.12/19,357.16 = 7,358.96/x
  3. Step 3: Cross multiply
    12,917.12x = 19,357.16 × 7,358.96
  4. Step 4: Simplify right side
    12,917.12x = 142,448,566.15
  5. Step 5: Solve for x
    x = 142,448,566.15/12,917.12
  6. Step 6: Final answer
    x = 11,027.89

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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.