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Finding the Fourth Proportional to 12,914.64, 19,328.76 and 11,353.68

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Solution

The fourth proportional to 12,914.64, 19,328.76 and 11,353.68 is: 16,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.64 : 19,328.76 = 11,353.68 : x
  2. Step 2: Convert to fraction form
    12,914.64/19,328.76 = 11,353.68/x
  3. Step 3: Cross multiply
    12,914.64x = 19,328.76 × 11,353.68
  4. Step 4: Simplify right side
    12,914.64x = 219,452,555.84
  5. Step 5: Solve for x
    x = 219,452,555.84/12,914.64
  6. Step 6: Final answer
    x = 16,992.54

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1.5x scale

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.