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Finding the Fourth Proportional to 8,176.86, 12,272.98 and 4,284

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Solution

The fourth proportional to 8,176.86, 12,272.98 and 4,284 is: 6,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.86 : 12,272.98 = 4,284 : x
  2. Step 2: Convert to fraction form
    8,176.86/12,272.98 = 4,284/x
  3. Step 3: Cross multiply
    8,176.86x = 12,272.98 × 4,284
  4. Step 4: Simplify right side
    8,176.86x = 52,577,446.32
  5. Step 5: Solve for x
    x = 52,577,446.32/8,176.86
  6. Step 6: Final answer
    x = 6,430.03

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Why These Related Problems?

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