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Finding the Fourth Proportional to 4,687, 6,464.70 and 2,894.44

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Solution

The fourth proportional to 4,687, 6,464.70 and 2,894.44 is: 3,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687 : 6,464.70 = 2,894.44 : x
  2. Step 2: Convert to fraction form
    4,687/6,464.70 = 2,894.44/x
  3. Step 3: Cross multiply
    4,687x = 6,464.70 × 2,894.44
  4. Step 4: Simplify right side
    4,687x = 18,711,686.27
  5. Step 5: Solve for x
    x = 18,711,686.27/4,687
  6. Step 6: Final answer
    x = 3,992.25

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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.