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Finding the Fourth Proportional to 10,801, 16,173.66 and 6,421.48

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Solution

The fourth proportional to 10,801, 16,173.66 and 6,421.48 is: 9,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801 : 16,173.66 = 6,421.48 : x
  2. Step 2: Convert to fraction form
    10,801/16,173.66 = 6,421.48/x
  3. Step 3: Cross multiply
    10,801x = 16,173.66 × 6,421.48
  4. Step 4: Simplify right side
    10,801x = 103,858,834.22
  5. Step 5: Solve for x
    x = 103,858,834.22/10,801
  6. Step 6: Final answer
    x = 9,615.67

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1.5x scale

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.