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Finding the Fourth Proportional to 19,650, 29,475 and 5,798.64

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Solution

The fourth proportional to 19,650, 29,475 and 5,798.64 is: 8,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650 : 29,475 = 5,798.64 : x
  2. Step 2: Convert to fraction form
    19,650/29,475 = 5,798.64/x
  3. Step 3: Cross multiply
    19,650x = 29,475 × 5,798.64
  4. Step 4: Simplify right side
    19,650x = 170,914,914
  5. Step 5: Solve for x
    x = 170,914,914/19,650
  6. Step 6: Final answer
    x = 8,697.96

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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.