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Finding the Fourth Proportional to 31,057.92, 42,860.16 and 16,911

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Solution

The fourth proportional to 31,057.92, 42,860.16 and 16,911 is: 23,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.92 : 42,860.16 = 16,911 : x
  2. Step 2: Convert to fraction form
    31,057.92/42,860.16 = 16,911/x
  3. Step 3: Cross multiply
    31,057.92x = 42,860.16 × 16,911
  4. Step 4: Simplify right side
    31,057.92x = 724,808,165.76
  5. Step 5: Solve for x
    x = 724,808,165.76/31,057.92
  6. Step 6: Final answer
    x = 23,337.31

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