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Finding the Fourth Proportional to 9,424, 13,005.29 and 5,175.46

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Solution

The fourth proportional to 9,424, 13,005.29 and 5,175.46 is: 7,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424 : 13,005.29 = 5,175.46 : x
  2. Step 2: Convert to fraction form
    9,424/13,005.29 = 5,175.46/x
  3. Step 3: Cross multiply
    9,424x = 13,005.29 × 5,175.46
  4. Step 4: Simplify right side
    9,424x = 67,308,358.18
  5. Step 5: Solve for x
    x = 67,308,358.18/9,424
  6. Step 6: Final answer
    x = 7,142.23

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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.