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Finding the Fourth Proportional to 8,512, 12,755.64 and 6,051.76

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Solution

The fourth proportional to 8,512, 12,755.64 and 6,051.76 is: 9,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 12,755.64 = 6,051.76 : x
  2. Step 2: Convert to fraction form
    8,512/12,755.64 = 6,051.76/x
  3. Step 3: Cross multiply
    8,512x = 12,755.64 × 6,051.76
  4. Step 4: Simplify right side
    8,512x = 77,194,071.93
  5. Step 5: Solve for x
    x = 77,194,071.93/8,512
  6. Step 6: Final answer
    x = 9,068.85

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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.