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Finding the Fourth Proportional to 9,878.22, 14,821.33 and 4,328.64

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Solution

The fourth proportional to 9,878.22, 14,821.33 and 4,328.64 is: 6,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.22 : 14,821.33 = 4,328.64 : x
  2. Step 2: Convert to fraction form
    9,878.22/14,821.33 = 4,328.64/x
  3. Step 3: Cross multiply
    9,878.22x = 14,821.33 × 4,328.64
  4. Step 4: Simplify right side
    9,878.22x = 64,156,201.89
  5. Step 5: Solve for x
    x = 64,156,201.89/9,878.22
  6. Step 6: Final answer
    x = 6,494.71

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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.