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Finding the Fourth Proportional to 13,268.72, 18,310.94 and 7,219

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Solution

The fourth proportional to 13,268.72, 18,310.94 and 7,219 is: 9,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.72 : 18,310.94 = 7,219 : x
  2. Step 2: Convert to fraction form
    13,268.72/18,310.94 = 7,219/x
  3. Step 3: Cross multiply
    13,268.72x = 18,310.94 × 7,219
  4. Step 4: Simplify right side
    13,268.72x = 132,186,675.86
  5. Step 5: Solve for x
    x = 132,186,675.86/13,268.72
  6. Step 6: Final answer
    x = 9,962.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.