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Finding the Fourth Proportional to 6,762.40, 9,331.88 and 3,930

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Solution

The fourth proportional to 6,762.40, 9,331.88 and 3,930 is: 5,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.40 : 9,331.88 = 3,930 : x
  2. Step 2: Convert to fraction form
    6,762.40/9,331.88 = 3,930/x
  3. Step 3: Cross multiply
    6,762.40x = 9,331.88 × 3,930
  4. Step 4: Simplify right side
    6,762.40x = 36,674,288.40
  5. Step 5: Solve for x
    x = 36,674,288.40/6,762.40
  6. Step 6: Final answer
    x = 5,423.27

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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.