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Finding the Fourth Proportional to 7,057.76, 9,667.88 and 6,980

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Solution

The fourth proportional to 7,057.76, 9,667.88 and 6,980 is: 9,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.76 : 9,667.88 = 6,980 : x
  2. Step 2: Convert to fraction form
    7,057.76/9,667.88 = 6,980/x
  3. Step 3: Cross multiply
    7,057.76x = 9,667.88 × 6,980
  4. Step 4: Simplify right side
    7,057.76x = 67,481,802.40
  5. Step 5: Solve for x
    x = 67,481,802.40/7,057.76
  6. Step 6: Final answer
    x = 9,561.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.