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Finding the Fourth Proportional to 30,978.14, 46,446.33 and 18,506.87

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Solution

The fourth proportional to 30,978.14, 46,446.33 and 18,506.87 is: 27,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.14 : 46,446.33 = 18,506.87 : x
  2. Step 2: Convert to fraction form
    30,978.14/46,446.33 = 18,506.87/x
  3. Step 3: Cross multiply
    30,978.14x = 46,446.33 × 18,506.87
  4. Step 4: Simplify right side
    30,978.14x = 859,575,959.06
  5. Step 5: Solve for x
    x = 859,575,959.06/30,978.14
  6. Step 6: Final answer
    x = 27,747.83

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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.