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Finding the Fourth Proportional to 16,175.49, 22,320.12 and 9,459.78

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Solution

The fourth proportional to 16,175.49, 22,320.12 and 9,459.78 is: 13,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.49 : 22,320.12 = 9,459.78 : x
  2. Step 2: Convert to fraction form
    16,175.49/22,320.12 = 9,459.78/x
  3. Step 3: Cross multiply
    16,175.49x = 22,320.12 × 9,459.78
  4. Step 4: Simplify right side
    16,175.49x = 211,143,424.77
  5. Step 5: Solve for x
    x = 211,143,424.77/16,175.49
  6. Step 6: Final answer
    x = 13,053.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.