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Finding the Fourth Proportional to 7,616.76, 11,409.42 and 6,978.88

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Solution

The fourth proportional to 7,616.76, 11,409.42 and 6,978.88 is: 10,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.76 : 11,409.42 = 6,978.88 : x
  2. Step 2: Convert to fraction form
    7,616.76/11,409.42 = 6,978.88/x
  3. Step 3: Cross multiply
    7,616.76x = 11,409.42 × 6,978.88
  4. Step 4: Simplify right side
    7,616.76x = 79,624,973.05
  5. Step 5: Solve for x
    x = 79,624,973.05/7,616.76
  6. Step 6: Final answer
    x = 10,453.92

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1.5x scale

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.