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Finding the Fourth Proportional to 30,916, 42,664.09 and 17,486.97

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Solution

The fourth proportional to 30,916, 42,664.09 and 17,486.97 is: 24,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916 : 42,664.09 = 17,486.97 : x
  2. Step 2: Convert to fraction form
    30,916/42,664.09 = 17,486.97/x
  3. Step 3: Cross multiply
    30,916x = 42,664.09 × 17,486.97
  4. Step 4: Simplify right side
    30,916x = 746,065,661.91
  5. Step 5: Solve for x
    x = 746,065,661.91/30,916
  6. Step 6: Final answer
    x = 24,132.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.