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Finding the Fourth Proportional to 30,640.74, 45,961.14 and 9,580.89

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Solution

The fourth proportional to 30,640.74, 45,961.14 and 9,580.89 is: 14,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.74 : 45,961.14 = 9,580.89 : x
  2. Step 2: Convert to fraction form
    30,640.74/45,961.14 = 9,580.89/x
  3. Step 3: Cross multiply
    30,640.74x = 45,961.14 × 9,580.89
  4. Step 4: Simplify right side
    30,640.74x = 440,348,626.61
  5. Step 5: Solve for x
    x = 440,348,626.61/30,640.74
  6. Step 6: Final answer
    x = 14,371.34

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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.