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Finding the Fourth Proportional to 19,765.17, 29,644.64 and 6,438.65

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Solution

The fourth proportional to 19,765.17, 29,644.64 and 6,438.65 is: 9,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.17 : 29,644.64 = 6,438.65 : x
  2. Step 2: Convert to fraction form
    19,765.17/29,644.64 = 6,438.65/x
  3. Step 3: Cross multiply
    19,765.17x = 29,644.64 × 6,438.65
  4. Step 4: Simplify right side
    19,765.17x = 190,871,280.92
  5. Step 5: Solve for x
    x = 190,871,280.92/19,765.17
  6. Step 6: Final answer
    x = 9,656.95

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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.