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Finding the Fourth Proportional to 9,327.60, 12,871.66 and 5,078.66

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Solution

The fourth proportional to 9,327.60, 12,871.66 and 5,078.66 is: 7,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.60 : 12,871.66 = 5,078.66 : x
  2. Step 2: Convert to fraction form
    9,327.60/12,871.66 = 5,078.66/x
  3. Step 3: Cross multiply
    9,327.60x = 12,871.66 × 5,078.66
  4. Step 4: Simplify right side
    9,327.60x = 65,370,784.78
  5. Step 5: Solve for x
    x = 65,370,784.78/9,327.60
  6. Step 6: Final answer
    x = 7,008.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.