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Finding the Fourth Proportional to 15,884.30, 21,911.17 and 9,905.59

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Solution

The fourth proportional to 15,884.30, 21,911.17 and 9,905.59 is: 13,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.30 : 21,911.17 = 9,905.59 : x
  2. Step 2: Convert to fraction form
    15,884.30/21,911.17 = 9,905.59/x
  3. Step 3: Cross multiply
    15,884.30x = 21,911.17 × 9,905.59
  4. Step 4: Simplify right side
    15,884.30x = 217,042,907.36
  5. Step 5: Solve for x
    x = 217,042,907.36/15,884.30
  6. Step 6: Final answer
    x = 13,663.99

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1.5x scale

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.