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Finding the Fourth Proportional to 12,841.12, 17,719.76 and 7,175.84

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Solution

The fourth proportional to 12,841.12, 17,719.76 and 7,175.84 is: 9,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.12 : 17,719.76 = 7,175.84 : x
  2. Step 2: Convert to fraction form
    12,841.12/17,719.76 = 7,175.84/x
  3. Step 3: Cross multiply
    12,841.12x = 17,719.76 × 7,175.84
  4. Step 4: Simplify right side
    12,841.12x = 127,154,162.60
  5. Step 5: Solve for x
    x = 127,154,162.60/12,841.12
  6. Step 6: Final answer
    x = 9,902.11

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1.5x scale

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.