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Finding the Fourth Proportional to 30,892.75, 42,632.04 and 16,745.74

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Solution

The fourth proportional to 30,892.75, 42,632.04 and 16,745.74 is: 23,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.75 : 42,632.04 = 16,745.74 : x
  2. Step 2: Convert to fraction form
    30,892.75/42,632.04 = 16,745.74/x
  3. Step 3: Cross multiply
    30,892.75x = 42,632.04 × 16,745.74
  4. Step 4: Simplify right side
    30,892.75x = 713,905,057.51
  5. Step 5: Solve for x
    x = 713,905,057.51/30,892.75
  6. Step 6: Final answer
    x = 23,109.15

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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.