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Finding the Fourth Proportional to 8,704.96, 12,004.16 and 5,560

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Solution

The fourth proportional to 8,704.96, 12,004.16 and 5,560 is: 7,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.96 : 12,004.16 = 5,560 : x
  2. Step 2: Convert to fraction form
    8,704.96/12,004.16 = 5,560/x
  3. Step 3: Cross multiply
    8,704.96x = 12,004.16 × 5,560
  4. Step 4: Simplify right side
    8,704.96x = 66,743,129.60
  5. Step 5: Solve for x
    x = 66,743,129.60/8,704.96
  6. Step 6: Final answer
    x = 7,667.25

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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.