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Finding the Fourth Proportional to 10,219, 15,314.64 and 4,665.46

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Solution

The fourth proportional to 10,219, 15,314.64 and 4,665.46 is: 6,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219 : 15,314.64 = 4,665.46 : x
  2. Step 2: Convert to fraction form
    10,219/15,314.64 = 4,665.46/x
  3. Step 3: Cross multiply
    10,219x = 15,314.64 × 4,665.46
  4. Step 4: Simplify right side
    10,219x = 71,449,840.33
  5. Step 5: Solve for x
    x = 71,449,840.33/10,219
  6. Step 6: Final answer
    x = 6,991.86

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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.