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Finding the Fourth Proportional to 12,883.69, 19,330.14 and 7,947.59

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Solution

The fourth proportional to 12,883.69, 19,330.14 and 7,947.59 is: 11,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.69 : 19,330.14 = 7,947.59 : x
  2. Step 2: Convert to fraction form
    12,883.69/19,330.14 = 7,947.59/x
  3. Step 3: Cross multiply
    12,883.69x = 19,330.14 × 7,947.59
  4. Step 4: Simplify right side
    12,883.69x = 153,627,960.52
  5. Step 5: Solve for x
    x = 153,627,960.52/12,883.69
  6. Step 6: Final answer
    x = 11,924.22

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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.