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Finding the Fourth Proportional to 19,988.94, 29,984.50 and 5,197.94

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Solution

The fourth proportional to 19,988.94, 29,984.50 and 5,197.94 is: 7,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988.94 : 29,984.50 = 5,197.94 : x
  2. Step 2: Convert to fraction form
    19,988.94/29,984.50 = 5,197.94/x
  3. Step 3: Cross multiply
    19,988.94x = 29,984.50 × 5,197.94
  4. Step 4: Simplify right side
    19,988.94x = 155,857,631.93
  5. Step 5: Solve for x
    x = 155,857,631.93/19,988.94
  6. Step 6: Final answer
    x = 7,797.19

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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.