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Finding the Fourth Proportional to 12,602.26, 18,907.08 and 5,207.14

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Solution

The fourth proportional to 12,602.26, 18,907.08 and 5,207.14 is: 7,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.26 : 18,907.08 = 5,207.14 : x
  2. Step 2: Convert to fraction form
    12,602.26/18,907.08 = 5,207.14/x
  3. Step 3: Cross multiply
    12,602.26x = 18,907.08 × 5,207.14
  4. Step 4: Simplify right side
    12,602.26x = 98,451,812.55
  5. Step 5: Solve for x
    x = 98,451,812.55/12,602.26
  6. Step 6: Final answer
    x = 7,812.23

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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.