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Finding the Fourth Proportional to 19,865, 29,797.50 and 5,273

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Solution

The fourth proportional to 19,865, 29,797.50 and 5,273 is: 7,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865 : 29,797.50 = 5,273 : x
  2. Step 2: Convert to fraction form
    19,865/29,797.50 = 5,273/x
  3. Step 3: Cross multiply
    19,865x = 29,797.50 × 5,273
  4. Step 4: Simplify right side
    19,865x = 157,122,217.50
  5. Step 5: Solve for x
    x = 157,122,217.50/19,865
  6. Step 6: Final answer
    x = 7,909.50

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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.