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Finding the Fourth Proportional to 12,602.86, 18,893.96 and 5,212.62

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Solution

The fourth proportional to 12,602.86, 18,893.96 and 5,212.62 is: 7,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.86 : 18,893.96 = 5,212.62 : x
  2. Step 2: Convert to fraction form
    12,602.86/18,893.96 = 5,212.62/x
  3. Step 3: Cross multiply
    12,602.86x = 18,893.96 × 5,212.62
  4. Step 4: Simplify right side
    12,602.86x = 98,487,027.26
  5. Step 5: Solve for x
    x = 98,487,027.26/12,602.86
  6. Step 6: Final answer
    x = 7,814.66

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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.