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Finding the Fourth Proportional to 12,998.89, 19,499.14 and 5,206.69

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Solution

The fourth proportional to 12,998.89, 19,499.14 and 5,206.69 is: 7,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.89 : 19,499.14 = 5,206.69 : x
  2. Step 2: Convert to fraction form
    12,998.89/19,499.14 = 5,206.69/x
  3. Step 3: Cross multiply
    12,998.89x = 19,499.14 × 5,206.69
  4. Step 4: Simplify right side
    12,998.89x = 101,525,879.75
  5. Step 5: Solve for x
    x = 101,525,879.75/12,998.89
  6. Step 6: Final answer
    x = 7,810.35

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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.