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Finding the Fourth Proportional to 30,311.24, 45,383.02 and 15,488.24

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Solution

The fourth proportional to 30,311.24, 45,383.02 and 15,488.24 is: 23,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.24 : 45,383.02 = 15,488.24 : x
  2. Step 2: Convert to fraction form
    30,311.24/45,383.02 = 15,488.24/x
  3. Step 3: Cross multiply
    30,311.24x = 45,383.02 × 15,488.24
  4. Step 4: Simplify right side
    30,311.24x = 702,902,840.05
  5. Step 5: Solve for x
    x = 702,902,840.05/30,311.24
  6. Step 6: Final answer
    x = 23,189.52

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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.