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Finding the Fourth Proportional to 13,113.68, 19,658.68 and 4,787.84

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Solution

The fourth proportional to 13,113.68, 19,658.68 and 4,787.84 is: 7,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.68 : 19,658.68 = 4,787.84 : x
  2. Step 2: Convert to fraction form
    13,113.68/19,658.68 = 4,787.84/x
  3. Step 3: Cross multiply
    13,113.68x = 19,658.68 × 4,787.84
  4. Step 4: Simplify right side
    13,113.68x = 94,122,614.45
  5. Step 5: Solve for x
    x = 94,122,614.45/13,113.68
  6. Step 6: Final answer
    x = 7,177.44

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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.