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Finding the Fourth Proportional to 30,685.50, 46,035.54 and 9,909

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Solution

The fourth proportional to 30,685.50, 46,035.54 and 9,909 is: 14,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.50 : 46,035.54 = 9,909 : x
  2. Step 2: Convert to fraction form
    30,685.50/46,035.54 = 9,909/x
  3. Step 3: Cross multiply
    30,685.50x = 46,035.54 × 9,909
  4. Step 4: Simplify right side
    30,685.50x = 456,166,165.86
  5. Step 5: Solve for x
    x = 456,166,165.86/30,685.50
  6. Step 6: Final answer
    x = 14,865.85

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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.