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Finding the Fourth Proportional to 30,954.89, 46,414.89 and 9,889.99

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Solution

The fourth proportional to 30,954.89, 46,414.89 and 9,889.99 is: 14,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.89 : 46,414.89 = 9,889.99 : x
  2. Step 2: Convert to fraction form
    30,954.89/46,414.89 = 9,889.99/x
  3. Step 3: Cross multiply
    30,954.89x = 46,414.89 × 9,889.99
  4. Step 4: Simplify right side
    30,954.89x = 459,042,681.91
  5. Step 5: Solve for x
    x = 459,042,681.91/30,954.89
  6. Step 6: Final answer
    x = 14,829.41

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1.5x scale

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.