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Finding the Fourth Proportional to 10,765.19, 16,133.81 and 5,210.82

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Solution

The fourth proportional to 10,765.19, 16,133.81 and 5,210.82 is: 7,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.19 : 16,133.81 = 5,210.82 : x
  2. Step 2: Convert to fraction form
    10,765.19/16,133.81 = 5,210.82/x
  3. Step 3: Cross multiply
    10,765.19x = 16,133.81 × 5,210.82
  4. Step 4: Simplify right side
    10,765.19x = 84,070,353.77
  5. Step 5: Solve for x
    x = 84,070,353.77/10,765.19
  6. Step 6: Final answer
    x = 7,809.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.