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Finding the Fourth Proportional to 4,927.32, 7,388.22 and 1,639.52

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Solution

The fourth proportional to 4,927.32, 7,388.22 and 1,639.52 is: 2,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.32 : 7,388.22 = 1,639.52 : x
  2. Step 2: Convert to fraction form
    4,927.32/7,388.22 = 1,639.52/x
  3. Step 3: Cross multiply
    4,927.32x = 7,388.22 × 1,639.52
  4. Step 4: Simplify right side
    4,927.32x = 12,113,134.45
  5. Step 5: Solve for x
    x = 12,113,134.45/4,927.32
  6. Step 6: Final answer
    x = 2,458.36

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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.