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Finding the Fourth Proportional to 5,381.20, 8,066.94 and 4,798

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Solution

The fourth proportional to 5,381.20, 8,066.94 and 4,798 is: 7,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.20 : 8,066.94 = 4,798 : x
  2. Step 2: Convert to fraction form
    5,381.20/8,066.94 = 4,798/x
  3. Step 3: Cross multiply
    5,381.20x = 8,066.94 × 4,798
  4. Step 4: Simplify right side
    5,381.20x = 38,705,178.12
  5. Step 5: Solve for x
    x = 38,705,178.12/5,381.20
  6. Step 6: Final answer
    x = 7,192.67

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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.