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Finding the Fourth Proportional to 6,899.76, 9,519.48 and 4,381.20

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Solution

The fourth proportional to 6,899.76, 9,519.48 and 4,381.20 is: 6,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.76 : 9,519.48 = 4,381.20 : x
  2. Step 2: Convert to fraction form
    6,899.76/9,519.48 = 4,381.20/x
  3. Step 3: Cross multiply
    6,899.76x = 9,519.48 × 4,381.20
  4. Step 4: Simplify right side
    6,899.76x = 41,706,745.78
  5. Step 5: Solve for x
    x = 41,706,745.78/6,899.76
  6. Step 6: Final answer
    x = 6,044.67

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1.5x scale

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.