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Finding the Fourth Proportional to 21,096.66, 31,645.58 and 7,054.08

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Solution

The fourth proportional to 21,096.66, 31,645.58 and 7,054.08 is: 10,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.66 : 31,645.58 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    21,096.66/31,645.58 = 7,054.08/x
  3. Step 3: Cross multiply
    21,096.66x = 31,645.58 × 7,054.08
  4. Step 4: Simplify right side
    21,096.66x = 223,230,299.03
  5. Step 5: Solve for x
    x = 223,230,299.03/21,096.66
  6. Step 6: Final answer
    x = 10,581.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.