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Finding the Fourth Proportional to 7,901.76, 11,847.76 and 3,739.20

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Solution

The fourth proportional to 7,901.76, 11,847.76 and 3,739.20 is: 5,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.76 : 11,847.76 = 3,739.20 : x
  2. Step 2: Convert to fraction form
    7,901.76/11,847.76 = 3,739.20/x
  3. Step 3: Cross multiply
    7,901.76x = 11,847.76 × 3,739.20
  4. Step 4: Simplify right side
    7,901.76x = 44,301,144.19
  5. Step 5: Solve for x
    x = 44,301,144.19/7,901.76
  6. Step 6: Final answer
    x = 5,606.49

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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.