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Finding the Fourth Proportional to 12,850, 19,275 and 8,411.40

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Solution

The fourth proportional to 12,850, 19,275 and 8,411.40 is: 12,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 19,275 = 8,411.40 : x
  2. Step 2: Convert to fraction form
    12,850/19,275 = 8,411.40/x
  3. Step 3: Cross multiply
    12,850x = 19,275 × 8,411.40
  4. Step 4: Simplify right side
    12,850x = 162,129,735
  5. Step 5: Solve for x
    x = 162,129,735/12,850
  6. Step 6: Final answer
    x = 12,617.10

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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.