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Finding the Fourth Proportional to 13,221.68, 19,830.80 and 7,678

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Solution

The fourth proportional to 13,221.68, 19,830.80 and 7,678 is: 11,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.68 : 19,830.80 = 7,678 : x
  2. Step 2: Convert to fraction form
    13,221.68/19,830.80 = 7,678/x
  3. Step 3: Cross multiply
    13,221.68x = 19,830.80 × 7,678
  4. Step 4: Simplify right side
    13,221.68x = 152,260,882.40
  5. Step 5: Solve for x
    x = 152,260,882.40/13,221.68
  6. Step 6: Final answer
    x = 11,516.00

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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.