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Finding the Fourth Proportional to 12,956.94, 19,454.85 and 7,416.54

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Solution

The fourth proportional to 12,956.94, 19,454.85 and 7,416.54 is: 11,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.94 : 19,454.85 = 7,416.54 : x
  2. Step 2: Convert to fraction form
    12,956.94/19,454.85 = 7,416.54/x
  3. Step 3: Cross multiply
    12,956.94x = 19,454.85 × 7,416.54
  4. Step 4: Simplify right side
    12,956.94x = 144,287,673.22
  5. Step 5: Solve for x
    x = 144,287,673.22/12,956.94
  6. Step 6: Final answer
    x = 11,135.94

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