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Finding the Fourth Proportional to 5,640.60, 8,477.10 and 4,927.80

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Solution

The fourth proportional to 5,640.60, 8,477.10 and 4,927.80 is: 7,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.60 : 8,477.10 = 4,927.80 : x
  2. Step 2: Convert to fraction form
    5,640.60/8,477.10 = 4,927.80/x
  3. Step 3: Cross multiply
    5,640.60x = 8,477.10 × 4,927.80
  4. Step 4: Simplify right side
    5,640.60x = 41,773,453.38
  5. Step 5: Solve for x
    x = 41,773,453.38/5,640.60
  6. Step 6: Final answer
    x = 7,405.85

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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.