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Finding the Fourth Proportional to 30,881.90, 46,301.89 and 9,815.63

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Solution

The fourth proportional to 30,881.90, 46,301.89 and 9,815.63 is: 14,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.90 : 46,301.89 = 9,815.63 : x
  2. Step 2: Convert to fraction form
    30,881.90/46,301.89 = 9,815.63/x
  3. Step 3: Cross multiply
    30,881.90x = 46,301.89 × 9,815.63
  4. Step 4: Simplify right side
    30,881.90x = 454,481,964.49
  5. Step 5: Solve for x
    x = 454,481,964.49/30,881.90
  6. Step 6: Final answer
    x = 14,716.77

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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.