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Finding the Fourth Proportional to 30,576, 45,864 and 9,800.08

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Solution

The fourth proportional to 30,576, 45,864 and 9,800.08 is: 14,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 45,864 = 9,800.08 : x
  2. Step 2: Convert to fraction form
    30,576/45,864 = 9,800.08/x
  3. Step 3: Cross multiply
    30,576x = 45,864 × 9,800.08
  4. Step 4: Simplify right side
    30,576x = 449,470,869.12
  5. Step 5: Solve for x
    x = 449,470,869.12/30,576
  6. Step 6: Final answer
    x = 14,700.12

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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.