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Finding the Fourth Proportional to 6,484.72, 9,733.23 and 2,978.68

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Solution

The fourth proportional to 6,484.72, 9,733.23 and 2,978.68 is: 4,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.72 : 9,733.23 = 2,978.68 : x
  2. Step 2: Convert to fraction form
    6,484.72/9,733.23 = 2,978.68/x
  3. Step 3: Cross multiply
    6,484.72x = 9,733.23 × 2,978.68
  4. Step 4: Simplify right side
    6,484.72x = 28,992,162.64
  5. Step 5: Solve for x
    x = 28,992,162.64/6,484.72
  6. Step 6: Final answer
    x = 4,470.84

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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.