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Finding the Fourth Proportional to 12,315.76, 18,477.88 and 6,762

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Solution

The fourth proportional to 12,315.76, 18,477.88 and 6,762 is: 10,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.76 : 18,477.88 = 6,762 : x
  2. Step 2: Convert to fraction form
    12,315.76/18,477.88 = 6,762/x
  3. Step 3: Cross multiply
    12,315.76x = 18,477.88 × 6,762
  4. Step 4: Simplify right side
    12,315.76x = 124,947,424.56
  5. Step 5: Solve for x
    x = 124,947,424.56/12,315.76
  6. Step 6: Final answer
    x = 10,145.33

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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.