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Finding the Fourth Proportional to 19,765.16, 27,276 and 10,812.81

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Solution

The fourth proportional to 19,765.16, 27,276 and 10,812.81 is: 14,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.16 : 27,276 = 10,812.81 : x
  2. Step 2: Convert to fraction form
    19,765.16/27,276 = 10,812.81/x
  3. Step 3: Cross multiply
    19,765.16x = 27,276 × 10,812.81
  4. Step 4: Simplify right side
    19,765.16x = 294,930,205.56
  5. Step 5: Solve for x
    x = 294,930,205.56/19,765.16
  6. Step 6: Final answer
    x = 14,921.72

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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.