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Finding the Fourth Proportional to 19,201, 28,801.50 and 8,257

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Solution

The fourth proportional to 19,201, 28,801.50 and 8,257 is: 12,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201 : 28,801.50 = 8,257 : x
  2. Step 2: Convert to fraction form
    19,201/28,801.50 = 8,257/x
  3. Step 3: Cross multiply
    19,201x = 28,801.50 × 8,257
  4. Step 4: Simplify right side
    19,201x = 237,813,985.50
  5. Step 5: Solve for x
    x = 237,813,985.50/19,201
  6. Step 6: Final answer
    x = 12,385.50

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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.