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Finding the Fourth Proportional to 7,175.60, 10,763.70 and 3,842.45

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Solution

The fourth proportional to 7,175.60, 10,763.70 and 3,842.45 is: 5,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.60 : 10,763.70 = 3,842.45 : x
  2. Step 2: Convert to fraction form
    7,175.60/10,763.70 = 3,842.45/x
  3. Step 3: Cross multiply
    7,175.60x = 10,763.70 × 3,842.45
  4. Step 4: Simplify right side
    7,175.60x = 41,358,979.07
  5. Step 5: Solve for x
    x = 41,358,979.07/7,175.60
  6. Step 6: Final answer
    x = 5,763.84

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