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Finding the Fourth Proportional to 9,175, 12,661.50 and 4,983.25

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Solution

The fourth proportional to 9,175, 12,661.50 and 4,983.25 is: 6,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175 : 12,661.50 = 4,983.25 : x
  2. Step 2: Convert to fraction form
    9,175/12,661.50 = 4,983.25/x
  3. Step 3: Cross multiply
    9,175x = 12,661.50 × 4,983.25
  4. Step 4: Simplify right side
    9,175x = 63,095,419.88
  5. Step 5: Solve for x
    x = 63,095,419.88/9,175
  6. Step 6: Final answer
    x = 6,876.89

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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.