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Finding the Fourth Proportional to 9,310.47, 13,940.80 and 7,834.25

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Solution

The fourth proportional to 9,310.47, 13,940.80 and 7,834.25 is: 11,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.47 : 13,940.80 = 7,834.25 : x
  2. Step 2: Convert to fraction form
    9,310.47/13,940.80 = 7,834.25/x
  3. Step 3: Cross multiply
    9,310.47x = 13,940.80 × 7,834.25
  4. Step 4: Simplify right side
    9,310.47x = 109,215,712.40
  5. Step 5: Solve for x
    x = 109,215,712.40/9,310.47
  6. Step 6: Final answer
    x = 11,730.42

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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.