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Finding the Fourth Proportional to 7,001.91, 9,662.60 and 3,815.39

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Solution

The fourth proportional to 7,001.91, 9,662.60 and 3,815.39 is: 5,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.91 : 9,662.60 = 3,815.39 : x
  2. Step 2: Convert to fraction form
    7,001.91/9,662.60 = 3,815.39/x
  3. Step 3: Cross multiply
    7,001.91x = 9,662.60 × 3,815.39
  4. Step 4: Simplify right side
    7,001.91x = 36,866,621.11
  5. Step 5: Solve for x
    x = 36,866,621.11/7,001.91
  6. Step 6: Final answer
    x = 5,265.22

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1.5x scale

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.