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Finding the Fourth Proportional to 16,389.84, 22,618.12 and 8,938.32

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Solution

The fourth proportional to 16,389.84, 22,618.12 and 8,938.32 is: 12,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.84 : 22,618.12 = 8,938.32 : x
  2. Step 2: Convert to fraction form
    16,389.84/22,618.12 = 8,938.32/x
  3. Step 3: Cross multiply
    16,389.84x = 22,618.12 × 8,938.32
  4. Step 4: Simplify right side
    16,389.84x = 202,167,994.36
  5. Step 5: Solve for x
    x = 202,167,994.36/16,389.84
  6. Step 6: Final answer
    x = 12,334.96

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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.