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Finding the Fourth Proportional to 10,300.80, 15,474.24 and 9,912

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Solution

The fourth proportional to 10,300.80, 15,474.24 and 9,912 is: 14,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.80 : 15,474.24 = 9,912 : x
  2. Step 2: Convert to fraction form
    10,300.80/15,474.24 = 9,912/x
  3. Step 3: Cross multiply
    10,300.80x = 15,474.24 × 9,912
  4. Step 4: Simplify right side
    10,300.80x = 153,380,666.88
  5. Step 5: Solve for x
    x = 153,380,666.88/10,300.80
  6. Step 6: Final answer
    x = 14,890.17

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Why These Related Problems?

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