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Finding the Fourth Proportional to 19,923.28, 27,493.90 and 10,970.61

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Solution

The fourth proportional to 19,923.28, 27,493.90 and 10,970.61 is: 15,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.28 : 27,493.90 = 10,970.61 : x
  2. Step 2: Convert to fraction form
    19,923.28/27,493.90 = 10,970.61/x
  3. Step 3: Cross multiply
    19,923.28x = 27,493.90 × 10,970.61
  4. Step 4: Simplify right side
    19,923.28x = 301,624,854.28
  5. Step 5: Solve for x
    x = 301,624,854.28/19,923.28
  6. Step 6: Final answer
    x = 15,139.32

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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.