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Finding the Fourth Proportional to 9,912.96, 14,860.80 and 4,711.68

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Solution

The fourth proportional to 9,912.96, 14,860.80 and 4,711.68 is: 7,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.96 : 14,860.80 = 4,711.68 : x
  2. Step 2: Convert to fraction form
    9,912.96/14,860.80 = 4,711.68/x
  3. Step 3: Cross multiply
    9,912.96x = 14,860.80 × 4,711.68
  4. Step 4: Simplify right side
    9,912.96x = 70,019,334.14
  5. Step 5: Solve for x
    x = 70,019,334.14/9,912.96
  6. Step 6: Final answer
    x = 7,063.41

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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.