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Finding the Fourth Proportional to 7,039.76, 9,714.36 and 3,896

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Solution

The fourth proportional to 7,039.76, 9,714.36 and 3,896 is: 5,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.76 : 9,714.36 = 3,896 : x
  2. Step 2: Convert to fraction form
    7,039.76/9,714.36 = 3,896/x
  3. Step 3: Cross multiply
    7,039.76x = 9,714.36 × 3,896
  4. Step 4: Simplify right side
    7,039.76x = 37,847,146.56
  5. Step 5: Solve for x
    x = 37,847,146.56/7,039.76
  6. Step 6: Final answer
    x = 5,376.20

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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.