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Finding the Fourth Proportional to 12,357.34, 18,489.66 and 7,341.31

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Solution

The fourth proportional to 12,357.34, 18,489.66 and 7,341.31 is: 10,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.34 : 18,489.66 = 7,341.31 : x
  2. Step 2: Convert to fraction form
    12,357.34/18,489.66 = 7,341.31/x
  3. Step 3: Cross multiply
    12,357.34x = 18,489.66 × 7,341.31
  4. Step 4: Simplify right side
    12,357.34x = 135,738,325.85
  5. Step 5: Solve for x
    x = 135,738,325.85/12,357.34
  6. Step 6: Final answer
    x = 10,984.43

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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.