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Finding the Fourth Proportional to 5,182.63, 7,152.38 and 3,927.49

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Solution

The fourth proportional to 5,182.63, 7,152.38 and 3,927.49 is: 5,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.63 : 7,152.38 = 3,927.49 : x
  2. Step 2: Convert to fraction form
    5,182.63/7,152.38 = 3,927.49/x
  3. Step 3: Cross multiply
    5,182.63x = 7,152.38 × 3,927.49
  4. Step 4: Simplify right side
    5,182.63x = 28,090,900.93
  5. Step 5: Solve for x
    x = 28,090,900.93/5,182.63
  6. Step 6: Final answer
    x = 5,420.20

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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.