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Finding the Fourth Proportional to 30,507.39, 45,758.34 and 10,784.97

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Solution

The fourth proportional to 30,507.39, 45,758.34 and 10,784.97 is: 16,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.39 : 45,758.34 = 10,784.97 : x
  2. Step 2: Convert to fraction form
    30,507.39/45,758.34 = 10,784.97/x
  3. Step 3: Cross multiply
    30,507.39x = 45,758.34 × 10,784.97
  4. Step 4: Simplify right side
    30,507.39x = 493,502,324.15
  5. Step 5: Solve for x
    x = 493,502,324.15/30,507.39
  6. Step 6: Final answer
    x = 16,176.48

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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.