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Finding the Fourth Proportional to 7,281.63, 10,922.43 and 5,813.91

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Solution

The fourth proportional to 7,281.63, 10,922.43 and 5,813.91 is: 8,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.63 : 10,922.43 = 5,813.91 : x
  2. Step 2: Convert to fraction form
    7,281.63/10,922.43 = 5,813.91/x
  3. Step 3: Cross multiply
    7,281.63x = 10,922.43 × 5,813.91
  4. Step 4: Simplify right side
    7,281.63x = 63,502,025.00
  5. Step 5: Solve for x
    x = 63,502,025.00/7,281.63
  6. Step 6: Final answer
    x = 8,720.85

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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.