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Finding the Fourth Proportional to 6,567, 9,078.66 and 6,291.60

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Solution

The fourth proportional to 6,567, 9,078.66 and 6,291.60 is: 8,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567 : 9,078.66 = 6,291.60 : x
  2. Step 2: Convert to fraction form
    6,567/9,078.66 = 6,291.60/x
  3. Step 3: Cross multiply
    6,567x = 9,078.66 × 6,291.60
  4. Step 4: Simplify right side
    6,567x = 57,119,297.26
  5. Step 5: Solve for x
    x = 57,119,297.26/6,567
  6. Step 6: Final answer
    x = 8,697.93

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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.