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Finding the Fourth Proportional to 19,797.68, 29,693.76 and 5,005.70

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Solution

The fourth proportional to 19,797.68, 29,693.76 and 5,005.70 is: 7,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.68 : 29,693.76 = 5,005.70 : x
  2. Step 2: Convert to fraction form
    19,797.68/29,693.76 = 5,005.70/x
  3. Step 3: Cross multiply
    19,797.68x = 29,693.76 × 5,005.70
  4. Step 4: Simplify right side
    19,797.68x = 148,638,054.43
  5. Step 5: Solve for x
    x = 148,638,054.43/19,797.68
  6. Step 6: Final answer
    x = 7,507.85

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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.