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Finding the Fourth Proportional to 6,210, 9,305.26 and 5,281.72

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Solution

The fourth proportional to 6,210, 9,305.26 and 5,281.72 is: 7,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210 : 9,305.26 = 5,281.72 : x
  2. Step 2: Convert to fraction form
    6,210/9,305.26 = 5,281.72/x
  3. Step 3: Cross multiply
    6,210x = 9,305.26 × 5,281.72
  4. Step 4: Simplify right side
    6,210x = 49,147,777.85
  5. Step 5: Solve for x
    x = 49,147,777.85/6,210
  6. Step 6: Final answer
    x = 7,914.30

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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.