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Finding the Fourth Proportional to 13,149, 18,146.34 and 7,181.21

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Solution

The fourth proportional to 13,149, 18,146.34 and 7,181.21 is: 9,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 18,146.34 = 7,181.21 : x
  2. Step 2: Convert to fraction form
    13,149/18,146.34 = 7,181.21/x
  3. Step 3: Cross multiply
    13,149x = 18,146.34 × 7,181.21
  4. Step 4: Simplify right side
    13,149x = 130,312,587.54
  5. Step 5: Solve for x
    x = 130,312,587.54/13,149
  6. Step 6: Final answer
    x = 9,910.46

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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.