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Finding the Fourth Proportional to 10,805.50, 14,880 and 10,350.28

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Solution

The fourth proportional to 10,805.50, 14,880 and 10,350.28 is: 14,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.50 : 14,880 = 10,350.28 : x
  2. Step 2: Convert to fraction form
    10,805.50/14,880 = 10,350.28/x
  3. Step 3: Cross multiply
    10,805.50x = 14,880 × 10,350.28
  4. Step 4: Simplify right side
    10,805.50x = 154,012,166.40
  5. Step 5: Solve for x
    x = 154,012,166.40/10,805.50
  6. Step 6: Final answer
    x = 14,253.13

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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.