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Finding the Fourth Proportional to 3,927.47, 5,891.21 and 1,005.78

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Solution

The fourth proportional to 3,927.47, 5,891.21 and 1,005.78 is: 1,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.47 : 5,891.21 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    3,927.47/5,891.21 = 1,005.78/x
  3. Step 3: Cross multiply
    3,927.47x = 5,891.21 × 1,005.78
  4. Step 4: Simplify right side
    3,927.47x = 5,925,256.16
  5. Step 5: Solve for x
    x = 5,925,256.16/3,927.47
  6. Step 6: Final answer
    x = 1,508.67

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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.