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Finding the Fourth Proportional to 12,998.92, 19,509.54 and 5,213.08

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Solution

The fourth proportional to 12,998.92, 19,509.54 and 5,213.08 is: 7,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.92 : 19,509.54 = 5,213.08 : x
  2. Step 2: Convert to fraction form
    12,998.92/19,509.54 = 5,213.08/x
  3. Step 3: Cross multiply
    12,998.92x = 19,509.54 × 5,213.08
  4. Step 4: Simplify right side
    12,998.92x = 101,704,792.78
  5. Step 5: Solve for x
    x = 101,704,792.78/12,998.92
  6. Step 6: Final answer
    x = 7,824.10

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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.