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Finding the Fourth Proportional to 15,880, 21,914.40 and 8,807.89

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Solution

The fourth proportional to 15,880, 21,914.40 and 8,807.89 is: 12,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 21,914.40 = 8,807.89 : x
  2. Step 2: Convert to fraction form
    15,880/21,914.40 = 8,807.89/x
  3. Step 3: Cross multiply
    15,880x = 21,914.40 × 8,807.89
  4. Step 4: Simplify right side
    15,880x = 193,019,624.62
  5. Step 5: Solve for x
    x = 193,019,624.62/15,880
  6. Step 6: Final answer
    x = 12,154.89

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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.