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Finding the Fourth Proportional to 20,697.68, 31,036.44 and 6,842

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Solution

The fourth proportional to 20,697.68, 31,036.44 and 6,842 is: 10,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.68 : 31,036.44 = 6,842 : x
  2. Step 2: Convert to fraction form
    20,697.68/31,036.44 = 6,842/x
  3. Step 3: Cross multiply
    20,697.68x = 31,036.44 × 6,842
  4. Step 4: Simplify right side
    20,697.68x = 212,351,322.48
  5. Step 5: Solve for x
    x = 212,351,322.48/20,697.68
  6. Step 6: Final answer
    x = 10,259.67

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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.