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Finding the Fourth Proportional to 10,361.40, 14,298.44 and 5,645.72

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Solution

The fourth proportional to 10,361.40, 14,298.44 and 5,645.72 is: 7,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.40 : 14,298.44 = 5,645.72 : x
  2. Step 2: Convert to fraction form
    10,361.40/14,298.44 = 5,645.72/x
  3. Step 3: Cross multiply
    10,361.40x = 14,298.44 × 5,645.72
  4. Step 4: Simplify right side
    10,361.40x = 80,724,988.68
  5. Step 5: Solve for x
    x = 80,724,988.68/10,361.40
  6. Step 6: Final answer
    x = 7,790.93

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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.