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Finding the Fourth Proportional to 10,368.94, 14,309.56 and 7,181.32

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Solution

The fourth proportional to 10,368.94, 14,309.56 and 7,181.32 is: 9,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.94 : 14,309.56 = 7,181.32 : x
  2. Step 2: Convert to fraction form
    10,368.94/14,309.56 = 7,181.32/x
  3. Step 3: Cross multiply
    10,368.94x = 14,309.56 × 7,181.32
  4. Step 4: Simplify right side
    10,368.94x = 102,761,529.42
  5. Step 5: Solve for x
    x = 102,761,529.42/10,368.94
  6. Step 6: Final answer
    x = 9,910.51

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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.