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Finding the Fourth Proportional to 7,472.69, 10,312.35 and 4,286.12

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Solution

The fourth proportional to 7,472.69, 10,312.35 and 4,286.12 is: 5,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.69 : 10,312.35 = 4,286.12 : x
  2. Step 2: Convert to fraction form
    7,472.69/10,312.35 = 4,286.12/x
  3. Step 3: Cross multiply
    7,472.69x = 10,312.35 × 4,286.12
  4. Step 4: Simplify right side
    7,472.69x = 44,199,969.58
  5. Step 5: Solve for x
    x = 44,199,969.58/7,472.69
  6. Step 6: Final answer
    x = 5,914.87

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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.