Home / 20,697-31,048.74-6,849.24

Finding the Fourth Proportional to 20,697, 31,048.74 and 6,849.24

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Solution

The fourth proportional to 20,697, 31,048.74 and 6,849.24 is: 10,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697 : 31,048.74 = 6,849.24 : x
  2. Step 2: Convert to fraction form
    20,697/31,048.74 = 6,849.24/x
  3. Step 3: Cross multiply
    20,697x = 31,048.74 × 6,849.24
  4. Step 4: Simplify right side
    20,697x = 212,660,271.96
  5. Step 5: Solve for x
    x = 212,660,271.96/20,697
  6. Step 6: Final answer
    x = 10,274.93

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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.