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Finding the Fourth Proportional to 30,488.73, 45,706.81 and 11,781.89

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Solution

The fourth proportional to 30,488.73, 45,706.81 and 11,781.89 is: 17,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.73 : 45,706.81 = 11,781.89 : x
  2. Step 2: Convert to fraction form
    30,488.73/45,706.81 = 11,781.89/x
  3. Step 3: Cross multiply
    30,488.73x = 45,706.81 × 11,781.89
  4. Step 4: Simplify right side
    30,488.73x = 538,512,543.17
  5. Step 5: Solve for x
    x = 538,512,543.17/30,488.73
  6. Step 6: Final answer
    x = 17,662.68

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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.