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Finding the Fourth Proportional to 12,998.96, 19,509.37 and 12,178.83

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Solution

The fourth proportional to 12,998.96, 19,509.37 and 12,178.83 is: 18,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.96 : 19,509.37 = 12,178.83 : x
  2. Step 2: Convert to fraction form
    12,998.96/19,509.37 = 12,178.83/x
  3. Step 3: Cross multiply
    12,998.96x = 19,509.37 × 12,178.83
  4. Step 4: Simplify right side
    12,998.96x = 237,601,254.97
  5. Step 5: Solve for x
    x = 237,601,254.97/12,998.96
  6. Step 6: Final answer
    x = 18,278.49

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Double scale
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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.