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Finding the Fourth Proportional to 13,953.60, 19,250.52 and 7,982.08

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Solution

The fourth proportional to 13,953.60, 19,250.52 and 7,982.08 is: 11,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.60 : 19,250.52 = 7,982.08 : x
  2. Step 2: Convert to fraction form
    13,953.60/19,250.52 = 7,982.08/x
  3. Step 3: Cross multiply
    13,953.60x = 19,250.52 × 7,982.08
  4. Step 4: Simplify right side
    13,953.60x = 153,659,190.68
  5. Step 5: Solve for x
    x = 153,659,190.68/13,953.60
  6. Step 6: Final answer
    x = 11,012.15

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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.