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Finding the Fourth Proportional to 7,243, 10,859.52 and 2,860.96

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Solution

The fourth proportional to 7,243, 10,859.52 and 2,860.96 is: 4,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243 : 10,859.52 = 2,860.96 : x
  2. Step 2: Convert to fraction form
    7,243/10,859.52 = 2,860.96/x
  3. Step 3: Cross multiply
    7,243x = 10,859.52 × 2,860.96
  4. Step 4: Simplify right side
    7,243x = 31,068,652.34
  5. Step 5: Solve for x
    x = 31,068,652.34/7,243
  6. Step 6: Final answer
    x = 4,289.47

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Why These Related Problems?

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