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Finding the Fourth Proportional to 30,665, 46,005.60 and 9,889.04

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Solution

The fourth proportional to 30,665, 46,005.60 and 9,889.04 is: 14,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665 : 46,005.60 = 9,889.04 : x
  2. Step 2: Convert to fraction form
    30,665/46,005.60 = 9,889.04/x
  3. Step 3: Cross multiply
    30,665x = 46,005.60 × 9,889.04
  4. Step 4: Simplify right side
    30,665x = 454,951,218.62
  5. Step 5: Solve for x
    x = 454,951,218.62/30,665
  6. Step 6: Final answer
    x = 14,836.17

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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.