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Finding the Fourth Proportional to 6,811.19, 9,402.66 and 4,546.28

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Solution

The fourth proportional to 6,811.19, 9,402.66 and 4,546.28 is: 6,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.19 : 9,402.66 = 4,546.28 : x
  2. Step 2: Convert to fraction form
    6,811.19/9,402.66 = 4,546.28/x
  3. Step 3: Cross multiply
    6,811.19x = 9,402.66 × 4,546.28
  4. Step 4: Simplify right side
    6,811.19x = 42,747,125.10
  5. Step 5: Solve for x
    x = 42,747,125.10/6,811.19
  6. Step 6: Final answer
    x = 6,276.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.