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Finding the Fourth Proportional to 10,231.80, 15,315.30 and 9,907.80

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Solution

The fourth proportional to 10,231.80, 15,315.30 and 9,907.80 is: 14,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.80 : 15,315.30 = 9,907.80 : x
  2. Step 2: Convert to fraction form
    10,231.80/15,315.30 = 9,907.80/x
  3. Step 3: Cross multiply
    10,231.80x = 15,315.30 × 9,907.80
  4. Step 4: Simplify right side
    10,231.80x = 151,740,929.34
  5. Step 5: Solve for x
    x = 151,740,929.34/10,231.80
  6. Step 6: Final answer
    x = 14,830.33

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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.