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Finding the Fourth Proportional to 7,001.89, 9,662.56 and 3,815.18

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Solution

The fourth proportional to 7,001.89, 9,662.56 and 3,815.18 is: 5,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.89 : 9,662.56 = 3,815.18 : x
  2. Step 2: Convert to fraction form
    7,001.89/9,662.56 = 3,815.18/x
  3. Step 3: Cross multiply
    7,001.89x = 9,662.56 × 3,815.18
  4. Step 4: Simplify right side
    7,001.89x = 36,864,357.35
  5. Step 5: Solve for x
    x = 36,864,357.35/7,001.89
  6. Step 6: Final answer
    x = 5,264.92

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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.