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Finding the Fourth Proportional to 7,055.76, 9,665.14 and 6,978

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Solution

The fourth proportional to 7,055.76, 9,665.14 and 6,978 is: 9,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.76 : 9,665.14 = 6,978 : x
  2. Step 2: Convert to fraction form
    7,055.76/9,665.14 = 6,978/x
  3. Step 3: Cross multiply
    7,055.76x = 9,665.14 × 6,978
  4. Step 4: Simplify right side
    7,055.76x = 67,443,346.92
  5. Step 5: Solve for x
    x = 67,443,346.92/7,055.76
  6. Step 6: Final answer
    x = 9,558.62

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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.