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Finding the Fourth Proportional to 10,175.89, 15,236.49 and 6,457.99

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Solution

The fourth proportional to 10,175.89, 15,236.49 and 6,457.99 is: 9,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.89 : 15,236.49 = 6,457.99 : x
  2. Step 2: Convert to fraction form
    10,175.89/15,236.49 = 6,457.99/x
  3. Step 3: Cross multiply
    10,175.89x = 15,236.49 × 6,457.99
  4. Step 4: Simplify right side
    10,175.89x = 98,397,100.06
  5. Step 5: Solve for x
    x = 98,397,100.06/10,175.89
  6. Step 6: Final answer
    x = 9,669.63

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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.