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Finding the Fourth Proportional to 11,580.81, 17,371.06 and 2,815.70

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Solution

The fourth proportional to 11,580.81, 17,371.06 and 2,815.70 is: 4,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.81 : 17,371.06 = 2,815.70 : x
  2. Step 2: Convert to fraction form
    11,580.81/17,371.06 = 2,815.70/x
  3. Step 3: Cross multiply
    11,580.81x = 17,371.06 × 2,815.70
  4. Step 4: Simplify right side
    11,580.81x = 48,911,599.75
  5. Step 5: Solve for x
    x = 48,911,599.75/11,580.81
  6. Step 6: Final answer
    x = 4,223.51

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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.