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Finding the Fourth Proportional to 7,178.76, 10,768.68 and 1,984.50

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Solution

The fourth proportional to 7,178.76, 10,768.68 and 1,984.50 is: 2,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.76 : 10,768.68 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    7,178.76/10,768.68 = 1,984.50/x
  3. Step 3: Cross multiply
    7,178.76x = 10,768.68 × 1,984.50
  4. Step 4: Simplify right side
    7,178.76x = 21,370,445.46
  5. Step 5: Solve for x
    x = 21,370,445.46/7,178.76
  6. Step 6: Final answer
    x = 2,976.90

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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.