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Finding the Fourth Proportional to 9,356, 12,911.46 and 5,164.16

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Solution

The fourth proportional to 9,356, 12,911.46 and 5,164.16 is: 7,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356 : 12,911.46 = 5,164.16 : x
  2. Step 2: Convert to fraction form
    9,356/12,911.46 = 5,164.16/x
  3. Step 3: Cross multiply
    9,356x = 12,911.46 × 5,164.16
  4. Step 4: Simplify right side
    9,356x = 66,676,845.27
  5. Step 5: Solve for x
    x = 66,676,845.27/9,356
  6. Step 6: Final answer
    x = 7,126.64

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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.