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Finding the Fourth Proportional to 7,043.76, 9,720.72 and 3,900

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Solution

The fourth proportional to 7,043.76, 9,720.72 and 3,900 is: 5,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.76 : 9,720.72 = 3,900 : x
  2. Step 2: Convert to fraction form
    7,043.76/9,720.72 = 3,900/x
  3. Step 3: Cross multiply
    7,043.76x = 9,720.72 × 3,900
  4. Step 4: Simplify right side
    7,043.76x = 37,910,808
  5. Step 5: Solve for x
    x = 37,910,808/7,043.76
  6. Step 6: Final answer
    x = 5,382.18

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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.