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Finding the Fourth Proportional to 5,423.25, 7,484.13 and 2,939.25

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Solution

The fourth proportional to 5,423.25, 7,484.13 and 2,939.25 is: 4,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.25 : 7,484.13 = 2,939.25 : x
  2. Step 2: Convert to fraction form
    5,423.25/7,484.13 = 2,939.25/x
  3. Step 3: Cross multiply
    5,423.25x = 7,484.13 × 2,939.25
  4. Step 4: Simplify right side
    5,423.25x = 21,997,729.10
  5. Step 5: Solve for x
    x = 21,997,729.10/5,423.25
  6. Step 6: Final answer
    x = 4,056.19

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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.