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Finding the Fourth Proportional to 8,451.84, 11,661.64 and 4,913.20

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Solution

The fourth proportional to 8,451.84, 11,661.64 and 4,913.20 is: 6,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.84 : 11,661.64 = 4,913.20 : x
  2. Step 2: Convert to fraction form
    8,451.84/11,661.64 = 4,913.20/x
  3. Step 3: Cross multiply
    8,451.84x = 11,661.64 × 4,913.20
  4. Step 4: Simplify right side
    8,451.84x = 57,295,969.65
  5. Step 5: Solve for x
    x = 57,295,969.65/8,451.84
  6. Step 6: Final answer
    x = 6,779.11

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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.