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Finding the Fourth Proportional to 9,357.28, 12,912 and 5,164.48

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Solution

The fourth proportional to 9,357.28, 12,912 and 5,164.48 is: 7,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.28 : 12,912 = 5,164.48 : x
  2. Step 2: Convert to fraction form
    9,357.28/12,912 = 5,164.48/x
  3. Step 3: Cross multiply
    9,357.28x = 12,912 × 5,164.48
  4. Step 4: Simplify right side
    9,357.28x = 66,683,765.76
  5. Step 5: Solve for x
    x = 66,683,765.76/9,357.28
  6. Step 6: Final answer
    x = 7,126.40

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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.