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Finding the Fourth Proportional to 12,750, 19,114.48 and 5,360.16

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Solution

The fourth proportional to 12,750, 19,114.48 and 5,360.16 is: 8,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 19,114.48 = 5,360.16 : x
  2. Step 2: Convert to fraction form
    12,750/19,114.48 = 5,360.16/x
  3. Step 3: Cross multiply
    12,750x = 19,114.48 × 5,360.16
  4. Step 4: Simplify right side
    12,750x = 102,456,671.12
  5. Step 5: Solve for x
    x = 102,456,671.12/12,750
  6. Step 6: Final answer
    x = 8,035.82

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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.