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Finding the Fourth Proportional to 13,005, 17,947.14 and 9,285.48

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Solution

The fourth proportional to 13,005, 17,947.14 and 9,285.48 is: 12,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 17,947.14 = 9,285.48 : x
  2. Step 2: Convert to fraction form
    13,005/17,947.14 = 9,285.48/x
  3. Step 3: Cross multiply
    13,005x = 17,947.14 × 9,285.48
  4. Step 4: Simplify right side
    13,005x = 166,647,809.53
  5. Step 5: Solve for x
    x = 166,647,809.53/13,005
  6. Step 6: Final answer
    x = 12,814.13

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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.