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Finding the Fourth Proportional to 3,120.84, 4,682.05 and 929.50

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Solution

The fourth proportional to 3,120.84, 4,682.05 and 929.50 is: 1,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.84 : 4,682.05 = 929.50 : x
  2. Step 2: Convert to fraction form
    3,120.84/4,682.05 = 929.50/x
  3. Step 3: Cross multiply
    3,120.84x = 4,682.05 × 929.50
  4. Step 4: Simplify right side
    3,120.84x = 4,351,951.45
  5. Step 5: Solve for x
    x = 4,351,951.45/3,120.84
  6. Step 6: Final answer
    x = 1,394.48

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1.5x scale

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.