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Finding the Fourth Proportional to 15,905.99, 21,953.49 and 9,191.90

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Solution

The fourth proportional to 15,905.99, 21,953.49 and 9,191.90 is: 12,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.99 : 21,953.49 = 9,191.90 : x
  2. Step 2: Convert to fraction form
    15,905.99/21,953.49 = 9,191.90/x
  3. Step 3: Cross multiply
    15,905.99x = 21,953.49 × 9,191.90
  4. Step 4: Simplify right side
    15,905.99x = 201,794,284.73
  5. Step 5: Solve for x
    x = 201,794,284.73/15,905.99
  6. Step 6: Final answer
    x = 12,686.68

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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.