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Finding the Fourth Proportional to 4,470.36, 6,695.82 and 2,157

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Solution

The fourth proportional to 4,470.36, 6,695.82 and 2,157 is: 3,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.36 : 6,695.82 = 2,157 : x
  2. Step 2: Convert to fraction form
    4,470.36/6,695.82 = 2,157/x
  3. Step 3: Cross multiply
    4,470.36x = 6,695.82 × 2,157
  4. Step 4: Simplify right side
    4,470.36x = 14,442,883.74
  5. Step 5: Solve for x
    x = 14,442,883.74/4,470.36
  6. Step 6: Final answer
    x = 3,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.