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Finding the Fourth Proportional to 4,702, 6,488.24 and 2,712.16

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Solution

The fourth proportional to 4,702, 6,488.24 and 2,712.16 is: 3,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702 : 6,488.24 = 2,712.16 : x
  2. Step 2: Convert to fraction form
    4,702/6,488.24 = 2,712.16/x
  3. Step 3: Cross multiply
    4,702x = 6,488.24 × 2,712.16
  4. Step 4: Simplify right side
    4,702x = 17,597,145.00
  5. Step 5: Solve for x
    x = 17,597,145.00/4,702
  6. Step 6: Final answer
    x = 3,742.48

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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.