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Finding the Fourth Proportional to 5,153.94, 7,740 and 3,838.05

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Solution

The fourth proportional to 5,153.94, 7,740 and 3,838.05 is: 5,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.94 : 7,740 = 3,838.05 : x
  2. Step 2: Convert to fraction form
    5,153.94/7,740 = 3,838.05/x
  3. Step 3: Cross multiply
    5,153.94x = 7,740 × 3,838.05
  4. Step 4: Simplify right side
    5,153.94x = 29,706,507
  5. Step 5: Solve for x
    x = 29,706,507/5,153.94
  6. Step 6: Final answer
    x = 5,763.84

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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.