Home / 31,023.87-42,813-16,876.68

Finding the Fourth Proportional to 31,023.87, 42,813 and 16,876.68

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Solution

The fourth proportional to 31,023.87, 42,813 and 16,876.68 is: 23,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.87 : 42,813 = 16,876.68 : x
  2. Step 2: Convert to fraction form
    31,023.87/42,813 = 16,876.68/x
  3. Step 3: Cross multiply
    31,023.87x = 42,813 × 16,876.68
  4. Step 4: Simplify right side
    31,023.87x = 722,541,300.84
  5. Step 5: Solve for x
    x = 722,541,300.84/31,023.87
  6. Step 6: Final answer
    x = 23,289.85

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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.