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Finding the Fourth Proportional to 7,001.62, 9,662.15 and 3,815.05

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Solution

The fourth proportional to 7,001.62, 9,662.15 and 3,815.05 is: 5,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.62 : 9,662.15 = 3,815.05 : x
  2. Step 2: Convert to fraction form
    7,001.62/9,662.15 = 3,815.05/x
  3. Step 3: Cross multiply
    7,001.62x = 9,662.15 × 3,815.05
  4. Step 4: Simplify right side
    7,001.62x = 36,861,572.76
  5. Step 5: Solve for x
    x = 36,861,572.76/7,001.62
  6. Step 6: Final answer
    x = 5,264.72

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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.