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Finding the Fourth Proportional to 30,645, 45,966 and 9,584.86

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Solution

The fourth proportional to 30,645, 45,966 and 9,584.86 is: 14,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 45,966 = 9,584.86 : x
  2. Step 2: Convert to fraction form
    30,645/45,966 = 9,584.86/x
  3. Step 3: Cross multiply
    30,645x = 45,966 × 9,584.86
  4. Step 4: Simplify right side
    30,645x = 440,577,674.76
  5. Step 5: Solve for x
    x = 440,577,674.76/30,645
  6. Step 6: Final answer
    x = 14,376.82

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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.