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Finding the Fourth Proportional to 30,434.64, 45,659.22 and 9,658.14

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Solution

The fourth proportional to 30,434.64, 45,659.22 and 9,658.14 is: 14,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.64 : 45,659.22 = 9,658.14 : x
  2. Step 2: Convert to fraction form
    30,434.64/45,659.22 = 9,658.14/x
  3. Step 3: Cross multiply
    30,434.64x = 45,659.22 × 9,658.14
  4. Step 4: Simplify right side
    30,434.64x = 440,983,139.05
  5. Step 5: Solve for x
    x = 440,983,139.05/30,434.64
  6. Step 6: Final answer
    x = 14,489.51

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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.