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Finding the Fourth Proportional to 30,892.41, 42,631.70 and 16,745.22

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Solution

The fourth proportional to 30,892.41, 42,631.70 and 16,745.22 is: 23,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.41 : 42,631.70 = 16,745.22 : x
  2. Step 2: Convert to fraction form
    30,892.41/42,631.70 = 16,745.22/x
  3. Step 3: Cross multiply
    30,892.41x = 42,631.70 × 16,745.22
  4. Step 4: Simplify right side
    30,892.41x = 713,877,111.75
  5. Step 5: Solve for x
    x = 713,877,111.75/30,892.41
  6. Step 6: Final answer
    x = 23,108.50

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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.