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Finding the Fourth Proportional to 12,602.75, 18,907.26 and 5,209.34

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Solution

The fourth proportional to 12,602.75, 18,907.26 and 5,209.34 is: 7,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.75 : 18,907.26 = 5,209.34 : x
  2. Step 2: Convert to fraction form
    12,602.75/18,907.26 = 5,209.34/x
  3. Step 3: Cross multiply
    12,602.75x = 18,907.26 × 5,209.34
  4. Step 4: Simplify right side
    12,602.75x = 98,494,319.76
  5. Step 5: Solve for x
    x = 98,494,319.76/12,602.75
  6. Step 6: Final answer
    x = 7,815.30

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1.5x scale

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.