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Finding the Fourth Proportional to 5,311.34, 7,965.81 and 1,415.66

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Solution

The fourth proportional to 5,311.34, 7,965.81 and 1,415.66 is: 2,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.34 : 7,965.81 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    5,311.34/7,965.81 = 1,415.66/x
  3. Step 3: Cross multiply
    5,311.34x = 7,965.81 × 1,415.66
  4. Step 4: Simplify right side
    5,311.34x = 11,276,878.58
  5. Step 5: Solve for x
    x = 11,276,878.58/5,311.34
  6. Step 6: Final answer
    x = 2,123.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.