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Finding the Fourth Proportional to 19,765.76, 29,650.20 and 5,726

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Solution

The fourth proportional to 19,765.76, 29,650.20 and 5,726 is: 8,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.76 : 29,650.20 = 5,726 : x
  2. Step 2: Convert to fraction form
    19,765.76/29,650.20 = 5,726/x
  3. Step 3: Cross multiply
    19,765.76x = 29,650.20 × 5,726
  4. Step 4: Simplify right side
    19,765.76x = 169,777,045.20
  5. Step 5: Solve for x
    x = 169,777,045.20/19,765.76
  6. Step 6: Final answer
    x = 8,589.45

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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.