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Finding the Fourth Proportional to 30,434.80, 45,644.10 and 9,374.80

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Solution

The fourth proportional to 30,434.80, 45,644.10 and 9,374.80 is: 14,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.80 : 45,644.10 = 9,374.80 : x
  2. Step 2: Convert to fraction form
    30,434.80/45,644.10 = 9,374.80/x
  3. Step 3: Cross multiply
    30,434.80x = 45,644.10 × 9,374.80
  4. Step 4: Simplify right side
    30,434.80x = 427,904,308.68
  5. Step 5: Solve for x
    x = 427,904,308.68/30,434.80
  6. Step 6: Final answer
    x = 14,059.70

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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.