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Finding the Fourth Proportional to 9,342.40, 13,997.40 and 8,046.40

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Solution

The fourth proportional to 9,342.40, 13,997.40 and 8,046.40 is: 12,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.40 : 13,997.40 = 8,046.40 : x
  2. Step 2: Convert to fraction form
    9,342.40/13,997.40 = 8,046.40/x
  3. Step 3: Cross multiply
    9,342.40x = 13,997.40 × 8,046.40
  4. Step 4: Simplify right side
    9,342.40x = 112,628,679.36
  5. Step 5: Solve for x
    x = 112,628,679.36/9,342.40
  6. Step 6: Final answer
    x = 12,055.65

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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.