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Finding the Fourth Proportional to 3,188.94, 4,778 and 1,953.77

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Solution

The fourth proportional to 3,188.94, 4,778 and 1,953.77 is: 2,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.94 : 4,778 = 1,953.77 : x
  2. Step 2: Convert to fraction form
    3,188.94/4,778 = 1,953.77/x
  3. Step 3: Cross multiply
    3,188.94x = 4,778 × 1,953.77
  4. Step 4: Simplify right side
    3,188.94x = 9,335,113.06
  5. Step 5: Solve for x
    x = 9,335,113.06/3,188.94
  6. Step 6: Final answer
    x = 2,927.34

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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.