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Finding the Fourth Proportional to 8,167.64, 11,271.15 and 4,630.86

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Solution

The fourth proportional to 8,167.64, 11,271.15 and 4,630.86 is: 6,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.64 : 11,271.15 = 4,630.86 : x
  2. Step 2: Convert to fraction form
    8,167.64/11,271.15 = 4,630.86/x
  3. Step 3: Cross multiply
    8,167.64x = 11,271.15 × 4,630.86
  4. Step 4: Simplify right side
    8,167.64x = 52,195,117.69
  5. Step 5: Solve for x
    x = 52,195,117.69/8,167.64
  6. Step 6: Final answer
    x = 6,390.48

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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.