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Finding the Fourth Proportional to 34,715.60, 47,907.60 and 18,800

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Solution

The fourth proportional to 34,715.60, 47,907.60 and 18,800 is: 25,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.60 : 47,907.60 = 18,800 : x
  2. Step 2: Convert to fraction form
    34,715.60/47,907.60 = 18,800/x
  3. Step 3: Cross multiply
    34,715.60x = 47,907.60 × 18,800
  4. Step 4: Simplify right side
    34,715.60x = 900,662,880
  5. Step 5: Solve for x
    x = 900,662,880/34,715.60
  6. Step 6: Final answer
    x = 25,944.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.