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Finding the Fourth Proportional to 12,750.96, 19,134.54 and 4,959.84

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Solution

The fourth proportional to 12,750.96, 19,134.54 and 4,959.84 is: 7,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.96 : 19,134.54 = 4,959.84 : x
  2. Step 2: Convert to fraction form
    12,750.96/19,134.54 = 4,959.84/x
  3. Step 3: Cross multiply
    12,750.96x = 19,134.54 × 4,959.84
  4. Step 4: Simplify right side
    12,750.96x = 94,904,256.87
  5. Step 5: Solve for x
    x = 94,904,256.87/12,750.96
  6. Step 6: Final answer
    x = 7,442.91

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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.