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Finding the Fourth Proportional to 10,782.70, 16,174.24 and 4,938.14

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Solution

The fourth proportional to 10,782.70, 16,174.24 and 4,938.14 is: 7,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.70 : 16,174.24 = 4,938.14 : x
  2. Step 2: Convert to fraction form
    10,782.70/16,174.24 = 4,938.14/x
  3. Step 3: Cross multiply
    10,782.70x = 16,174.24 × 4,938.14
  4. Step 4: Simplify right side
    10,782.70x = 79,870,661.51
  5. Step 5: Solve for x
    x = 79,870,661.51/10,782.70
  6. Step 6: Final answer
    x = 7,407.30

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Why These Related Problems?

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