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Finding the Fourth Proportional to 12,649.96, 18,970.62 and 7,967.08

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Solution

The fourth proportional to 12,649.96, 18,970.62 and 7,967.08 is: 11,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.96 : 18,970.62 = 7,967.08 : x
  2. Step 2: Convert to fraction form
    12,649.96/18,970.62 = 7,967.08/x
  3. Step 3: Cross multiply
    12,649.96x = 18,970.62 × 7,967.08
  4. Step 4: Simplify right side
    12,649.96x = 151,140,447.19
  5. Step 5: Solve for x
    x = 151,140,447.19/12,649.96
  6. Step 6: Final answer
    x = 11,947.90

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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.