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Finding the Fourth Proportional to 7,097.90, 10,700 and 6,622.16

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Solution

The fourth proportional to 7,097.90, 10,700 and 6,622.16 is: 9,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.90 : 10,700 = 6,622.16 : x
  2. Step 2: Convert to fraction form
    7,097.90/10,700 = 6,622.16/x
  3. Step 3: Cross multiply
    7,097.90x = 10,700 × 6,622.16
  4. Step 4: Simplify right side
    7,097.90x = 70,857,112
  5. Step 5: Solve for x
    x = 70,857,112/7,097.90
  6. Step 6: Final answer
    x = 9,982.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.