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Finding the Fourth Proportional to 30,654.44, 45,980.74 and 8,469.14

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Solution

The fourth proportional to 30,654.44, 45,980.74 and 8,469.14 is: 12,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.44 : 45,980.74 = 8,469.14 : x
  2. Step 2: Convert to fraction form
    30,654.44/45,980.74 = 8,469.14/x
  3. Step 3: Cross multiply
    30,654.44x = 45,980.74 × 8,469.14
  4. Step 4: Simplify right side
    30,654.44x = 389,417,324.36
  5. Step 5: Solve for x
    x = 389,417,324.36/30,654.44
  6. Step 6: Final answer
    x = 12,703.46

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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.