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Finding the Fourth Proportional to 12,750.79, 19,138.34 and 7,830.04

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Solution

The fourth proportional to 12,750.79, 19,138.34 and 7,830.04 is: 11,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.79 : 19,138.34 = 7,830.04 : x
  2. Step 2: Convert to fraction form
    12,750.79/19,138.34 = 7,830.04/x
  3. Step 3: Cross multiply
    12,750.79x = 19,138.34 × 7,830.04
  4. Step 4: Simplify right side
    12,750.79x = 149,853,967.73
  5. Step 5: Solve for x
    x = 149,853,967.73/12,750.79
  6. Step 6: Final answer
    x = 11,752.52

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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.