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Finding the Fourth Proportional to 6,978.66, 9,630.55 and 3,834.84

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Solution

The fourth proportional to 6,978.66, 9,630.55 and 3,834.84 is: 5,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.66 : 9,630.55 = 3,834.84 : x
  2. Step 2: Convert to fraction form
    6,978.66/9,630.55 = 3,834.84/x
  3. Step 3: Cross multiply
    6,978.66x = 9,630.55 × 3,834.84
  4. Step 4: Simplify right side
    6,978.66x = 36,931,637.70
  5. Step 5: Solve for x
    x = 36,931,637.70/6,978.66
  6. Step 6: Final answer
    x = 5,292.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.