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Finding the Fourth Proportional to 7,154.83, 9,872.26 and 3,968

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Solution

The fourth proportional to 7,154.83, 9,872.26 and 3,968 is: 5,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.83 : 9,872.26 = 3,968 : x
  2. Step 2: Convert to fraction form
    7,154.83/9,872.26 = 3,968/x
  3. Step 3: Cross multiply
    7,154.83x = 9,872.26 × 3,968
  4. Step 4: Simplify right side
    7,154.83x = 39,173,127.68
  5. Step 5: Solve for x
    x = 39,173,127.68/7,154.83
  6. Step 6: Final answer
    x = 5,475.06

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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.