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Finding the Fourth Proportional to 9,357, 12,912.66 and 5,165.25

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Solution

The fourth proportional to 9,357, 12,912.66 and 5,165.25 is: 7,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357 : 12,912.66 = 5,165.25 : x
  2. Step 2: Convert to fraction form
    9,357/12,912.66 = 5,165.25/x
  3. Step 3: Cross multiply
    9,357x = 12,912.66 × 5,165.25
  4. Step 4: Simplify right side
    9,357x = 66,697,117.07
  5. Step 5: Solve for x
    x = 66,697,117.07/9,357
  6. Step 6: Final answer
    x = 7,128.05

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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.