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Finding the Fourth Proportional to 30,590.84, 45,882.21 and 11,857.97

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Solution

The fourth proportional to 30,590.84, 45,882.21 and 11,857.97 is: 17,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.84 : 45,882.21 = 11,857.97 : x
  2. Step 2: Convert to fraction form
    30,590.84/45,882.21 = 11,857.97/x
  3. Step 3: Cross multiply
    30,590.84x = 45,882.21 × 11,857.97
  4. Step 4: Simplify right side
    30,590.84x = 544,069,869.71
  5. Step 5: Solve for x
    x = 544,069,869.71/30,590.84
  6. Step 6: Final answer
    x = 17,785.39

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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.