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Finding the Fourth Proportional to 8,784.68, 13,178.46 and 4,165.16

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Solution

The fourth proportional to 8,784.68, 13,178.46 and 4,165.16 is: 6,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.68 : 13,178.46 = 4,165.16 : x
  2. Step 2: Convert to fraction form
    8,784.68/13,178.46 = 4,165.16/x
  3. Step 3: Cross multiply
    8,784.68x = 13,178.46 × 4,165.16
  4. Step 4: Simplify right side
    8,784.68x = 54,890,394.45
  5. Step 5: Solve for x
    x = 54,890,394.45/8,784.68
  6. Step 6: Final answer
    x = 6,248.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.