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Finding the Fourth Proportional to 13,005.57, 17,947.80 and 8,289.75

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Solution

The fourth proportional to 13,005.57, 17,947.80 and 8,289.75 is: 11,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.57 : 17,947.80 = 8,289.75 : x
  2. Step 2: Convert to fraction form
    13,005.57/17,947.80 = 8,289.75/x
  3. Step 3: Cross multiply
    13,005.57x = 17,947.80 × 8,289.75
  4. Step 4: Simplify right side
    13,005.57x = 148,782,775.05
  5. Step 5: Solve for x
    x = 148,782,775.05/13,005.57
  6. Step 6: Final answer
    x = 11,439.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.