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Finding the Fourth Proportional to 13,214.16, 18,235.44 and 7,245.87

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Solution

The fourth proportional to 13,214.16, 18,235.44 and 7,245.87 is: 9,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.16 : 18,235.44 = 7,245.87 : x
  2. Step 2: Convert to fraction form
    13,214.16/18,235.44 = 7,245.87/x
  3. Step 3: Cross multiply
    13,214.16x = 18,235.44 × 7,245.87
  4. Step 4: Simplify right side
    13,214.16x = 132,131,627.63
  5. Step 5: Solve for x
    x = 132,131,627.63/13,214.16
  6. Step 6: Final answer
    x = 9,999.25

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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.