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Finding the Fourth Proportional to 15,900.09, 21,942.20 and 9,935.21

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Solution

The fourth proportional to 15,900.09, 21,942.20 and 9,935.21 is: 13,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.09 : 21,942.20 = 9,935.21 : x
  2. Step 2: Convert to fraction form
    15,900.09/21,942.20 = 9,935.21/x
  3. Step 3: Cross multiply
    15,900.09x = 21,942.20 × 9,935.21
  4. Step 4: Simplify right side
    15,900.09x = 218,000,364.86
  5. Step 5: Solve for x
    x = 218,000,364.86/15,900.09
  6. Step 6: Final answer
    x = 13,710.64

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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.