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Finding the Fourth Proportional to 12,759.92, 19,138.93 and 7,830.26

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Solution

The fourth proportional to 12,759.92, 19,138.93 and 7,830.26 is: 11,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.92 : 19,138.93 = 7,830.26 : x
  2. Step 2: Convert to fraction form
    12,759.92/19,138.93 = 7,830.26/x
  3. Step 3: Cross multiply
    12,759.92x = 19,138.93 × 7,830.26
  4. Step 4: Simplify right side
    12,759.92x = 149,862,798.02
  5. Step 5: Solve for x
    x = 149,862,798.02/12,759.92
  6. Step 6: Final answer
    x = 11,744.81

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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.