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Finding the Fourth Proportional to 12,412.12, 17,124.54 and 7,375

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Solution

The fourth proportional to 12,412.12, 17,124.54 and 7,375 is: 10,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.12 : 17,124.54 = 7,375 : x
  2. Step 2: Convert to fraction form
    12,412.12/17,124.54 = 7,375/x
  3. Step 3: Cross multiply
    12,412.12x = 17,124.54 × 7,375
  4. Step 4: Simplify right side
    12,412.12x = 126,293,482.50
  5. Step 5: Solve for x
    x = 126,293,482.50/12,412.12
  6. Step 6: Final answer
    x = 10,175.01

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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.