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Finding the Fourth Proportional to 6,484.28, 9,726.48 and 1,867.28

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Solution

The fourth proportional to 6,484.28, 9,726.48 and 1,867.28 is: 2,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.28 : 9,726.48 = 1,867.28 : x
  2. Step 2: Convert to fraction form
    6,484.28/9,726.48 = 1,867.28/x
  3. Step 3: Cross multiply
    6,484.28x = 9,726.48 × 1,867.28
  4. Step 4: Simplify right side
    6,484.28x = 18,162,061.57
  5. Step 5: Solve for x
    x = 18,162,061.57/6,484.28
  6. Step 6: Final answer
    x = 2,800.94

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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.