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Finding the Fourth Proportional to 7,323.81, 10,981.25 and 2,876.15

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Solution

The fourth proportional to 7,323.81, 10,981.25 and 2,876.15 is: 4,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.81 : 10,981.25 = 2,876.15 : x
  2. Step 2: Convert to fraction form
    7,323.81/10,981.25 = 2,876.15/x
  3. Step 3: Cross multiply
    7,323.81x = 10,981.25 × 2,876.15
  4. Step 4: Simplify right side
    7,323.81x = 31,583,652.90
  5. Step 5: Solve for x
    x = 31,583,652.90/7,323.81
  6. Step 6: Final answer
    x = 4,312.46

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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.