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Finding the Fourth Proportional to 9,982.31, 13,775.62 and 5,505.99

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Solution

The fourth proportional to 9,982.31, 13,775.62 and 5,505.99 is: 7,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.31 : 13,775.62 = 5,505.99 : x
  2. Step 2: Convert to fraction form
    9,982.31/13,775.62 = 5,505.99/x
  3. Step 3: Cross multiply
    9,982.31x = 13,775.62 × 5,505.99
  4. Step 4: Simplify right side
    9,982.31x = 75,848,448.35
  5. Step 5: Solve for x
    x = 75,848,448.35/9,982.31
  6. Step 6: Final answer
    x = 7,598.29

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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.