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Finding the Fourth Proportional to 5,407.29, 7,461.38 and 3,168.65

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Solution

The fourth proportional to 5,407.29, 7,461.38 and 3,168.65 is: 4,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.29 : 7,461.38 = 3,168.65 : x
  2. Step 2: Convert to fraction form
    5,407.29/7,461.38 = 3,168.65/x
  3. Step 3: Cross multiply
    5,407.29x = 7,461.38 × 3,168.65
  4. Step 4: Simplify right side
    5,407.29x = 23,642,528.31
  5. Step 5: Solve for x
    x = 23,642,528.31/5,407.29
  6. Step 6: Final answer
    x = 4,372.34

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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.