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Finding the Fourth Proportional to 12,106.85, 16,704.51 and 7,068.20

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Solution

The fourth proportional to 12,106.85, 16,704.51 and 7,068.20 is: 9,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.85 : 16,704.51 = 7,068.20 : x
  2. Step 2: Convert to fraction form
    12,106.85/16,704.51 = 7,068.20/x
  3. Step 3: Cross multiply
    12,106.85x = 16,704.51 × 7,068.20
  4. Step 4: Simplify right side
    12,106.85x = 118,070,734.06
  5. Step 5: Solve for x
    x = 118,070,734.06/12,106.85
  6. Step 6: Final answer
    x = 9,752.39

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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.