Home / 14,830-20,465.40-8,206

Finding the Fourth Proportional to 14,830, 20,465.40 and 8,206

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Solution

The fourth proportional to 14,830, 20,465.40 and 8,206 is: 11,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830 : 20,465.40 = 8,206 : x
  2. Step 2: Convert to fraction form
    14,830/20,465.40 = 8,206/x
  3. Step 3: Cross multiply
    14,830x = 20,465.40 × 8,206
  4. Step 4: Simplify right side
    14,830x = 167,939,072.40
  5. Step 5: Solve for x
    x = 167,939,072.40/14,830
  6. Step 6: Final answer
    x = 11,324.28

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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.