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Finding the Fourth Proportional to 7,692, 10,614.24 and 4,334.26

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Solution

The fourth proportional to 7,692, 10,614.24 and 4,334.26 is: 5,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,614.24 = 4,334.26 : x
  2. Step 2: Convert to fraction form
    7,692/10,614.24 = 4,334.26/x
  3. Step 3: Cross multiply
    7,692x = 10,614.24 × 4,334.26
  4. Step 4: Simplify right side
    7,692x = 46,004,875.86
  5. Step 5: Solve for x
    x = 46,004,875.86/7,692
  6. Step 6: Final answer
    x = 5,980.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.