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Finding the Fourth Proportional to 9,342.60, 12,880.39 and 7,743.25

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Solution

The fourth proportional to 9,342.60, 12,880.39 and 7,743.25 is: 10,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.60 : 12,880.39 = 7,743.25 : x
  2. Step 2: Convert to fraction form
    9,342.60/12,880.39 = 7,743.25/x
  3. Step 3: Cross multiply
    9,342.60x = 12,880.39 × 7,743.25
  4. Step 4: Simplify right side
    9,342.60x = 99,736,079.87
  5. Step 5: Solve for x
    x = 99,736,079.87/9,342.60
  6. Step 6: Final answer
    x = 10,675.41

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1.5x scale

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.