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Finding the Fourth Proportional to 13,009.32, 17,954.99 and 7,976.31

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Solution

The fourth proportional to 13,009.32, 17,954.99 and 7,976.31 is: 11,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.32 : 17,954.99 = 7,976.31 : x
  2. Step 2: Convert to fraction form
    13,009.32/17,954.99 = 7,976.31/x
  3. Step 3: Cross multiply
    13,009.32x = 17,954.99 × 7,976.31
  4. Step 4: Simplify right side
    13,009.32x = 143,214,526.41
  5. Step 5: Solve for x
    x = 143,214,526.41/13,009.32
  6. Step 6: Final answer
    x = 11,008.61

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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.