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Finding the Fourth Proportional to 4,670, 6,443.64 and 2,780.72

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Solution

The fourth proportional to 4,670, 6,443.64 and 2,780.72 is: 3,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 6,443.64 = 2,780.72 : x
  2. Step 2: Convert to fraction form
    4,670/6,443.64 = 2,780.72/x
  3. Step 3: Cross multiply
    4,670x = 6,443.64 × 2,780.72
  4. Step 4: Simplify right side
    4,670x = 17,917,958.62
  5. Step 5: Solve for x
    x = 17,917,958.62/4,670
  6. Step 6: Final answer
    x = 3,836.82

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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.